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Finding the Fourth Proportional to 10,401.30, 15,569.55 and 10,077.30

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Solution

The fourth proportional to 10,401.30, 15,569.55 and 10,077.30 is: 15,084.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,401.30 : 15,569.55 = 10,077.30 : x
  2. Step 2: Convert to fraction form
    10,401.30/15,569.55 = 10,077.30/x
  3. Step 3: Cross multiply
    10,401.30x = 15,569.55 × 10,077.30
  4. Step 4: Simplify right side
    10,401.30x = 156,899,026.22
  5. Step 5: Solve for x
    x = 156,899,026.22/10,401.30
  6. Step 6: Final answer
    x = 15,084.56

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