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Finding the Fourth Proportional to 10,569.16, 15,818.37 and 10,429.30

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Solution

The fourth proportional to 10,569.16, 15,818.37 and 10,429.30 is: 15,609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.16 : 15,818.37 = 10,429.30 : x
  2. Step 2: Convert to fraction form
    10,569.16/15,818.37 = 10,429.30/x
  3. Step 3: Cross multiply
    10,569.16x = 15,818.37 × 10,429.30
  4. Step 4: Simplify right side
    10,569.16x = 164,974,526.24
  5. Step 5: Solve for x
    x = 164,974,526.24/10,569.16
  6. Step 6: Final answer
    x = 15,609.05

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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.