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Finding the Fourth Proportional to 10,574.34, 15,854.78 and 9,008.18

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Solution

The fourth proportional to 10,574.34, 15,854.78 and 9,008.18 is: 13,506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.34 : 15,854.78 = 9,008.18 : x
  2. Step 2: Convert to fraction form
    10,574.34/15,854.78 = 9,008.18/x
  3. Step 3: Cross multiply
    10,574.34x = 15,854.78 × 9,008.18
  4. Step 4: Simplify right side
    10,574.34x = 142,822,712.10
  5. Step 5: Solve for x
    x = 142,822,712.10/10,574.34
  6. Step 6: Final answer
    x = 13,506.54

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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.