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Finding the Fourth Proportional to 13,153.45, 18,147.05 and 7,774.76

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Solution

The fourth proportional to 13,153.45, 18,147.05 and 7,774.76 is: 10,726.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.45 : 18,147.05 = 7,774.76 : x
  2. Step 2: Convert to fraction form
    13,153.45/18,147.05 = 7,774.76/x
  3. Step 3: Cross multiply
    13,153.45x = 18,147.05 × 7,774.76
  4. Step 4: Simplify right side
    13,153.45x = 141,088,919.58
  5. Step 5: Solve for x
    x = 141,088,919.58/13,153.45
  6. Step 6: Final answer
    x = 10,726.38

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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.