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Finding the Fourth Proportional to 10,702.42, 16,029.15 and 9,006.10

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Solution

The fourth proportional to 10,702.42, 16,029.15 and 9,006.10 is: 13,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.42 : 16,029.15 = 9,006.10 : x
  2. Step 2: Convert to fraction form
    10,702.42/16,029.15 = 9,006.10/x
  3. Step 3: Cross multiply
    10,702.42x = 16,029.15 × 9,006.10
  4. Step 4: Simplify right side
    10,702.42x = 144,360,127.82
  5. Step 5: Solve for x
    x = 144,360,127.82/10,702.42
  6. Step 6: Final answer
    x = 13,488.55

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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.