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Finding the Fourth Proportional to 15,098.02, 22,646.41 and 7,702.31

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Solution

The fourth proportional to 15,098.02, 22,646.41 and 7,702.31 is: 11,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.02 : 22,646.41 = 7,702.31 : x
  2. Step 2: Convert to fraction form
    15,098.02/22,646.41 = 7,702.31/x
  3. Step 3: Cross multiply
    15,098.02x = 22,646.41 × 7,702.31
  4. Step 4: Simplify right side
    15,098.02x = 174,429,670.21
  5. Step 5: Solve for x
    x = 174,429,670.21/15,098.02
  6. Step 6: Final answer
    x = 11,553.15

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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.