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Finding the Fourth Proportional to 13,309.76, 19,926.24 and 10,237.76

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Solution

The fourth proportional to 13,309.76, 19,926.24 and 10,237.76 is: 15,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.76 : 19,926.24 = 10,237.76 : x
  2. Step 2: Convert to fraction form
    13,309.76/19,926.24 = 10,237.76/x
  3. Step 3: Cross multiply
    13,309.76x = 19,926.24 × 10,237.76
  4. Step 4: Simplify right side
    13,309.76x = 204,000,062.82
  5. Step 5: Solve for x
    x = 204,000,062.82/13,309.76
  6. Step 6: Final answer
    x = 15,327.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.