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Finding the Fourth Proportional to 19,423.50, 26,803.38 and 11,462.82

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Solution

The fourth proportional to 19,423.50, 26,803.38 and 11,462.82 is: 15,818.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,423.50 : 26,803.38 = 11,462.82 : x
  2. Step 2: Convert to fraction form
    19,423.50/26,803.38 = 11,462.82/x
  3. Step 3: Cross multiply
    19,423.50x = 26,803.38 × 11,462.82
  4. Step 4: Simplify right side
    19,423.50x = 307,242,320.33
  5. Step 5: Solve for x
    x = 307,242,320.33/19,423.50
  6. Step 6: Final answer
    x = 15,818.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.