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Finding the Fourth Proportional to 15,142.53, 20,887.84 and 9,840.88

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Solution

The fourth proportional to 15,142.53, 20,887.84 and 9,840.88 is: 13,574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.53 : 20,887.84 = 9,840.88 : x
  2. Step 2: Convert to fraction form
    15,142.53/20,887.84 = 9,840.88/x
  3. Step 3: Cross multiply
    15,142.53x = 20,887.84 × 9,840.88
  4. Step 4: Simplify right side
    15,142.53x = 205,554,702.30
  5. Step 5: Solve for x
    x = 205,554,702.30/15,142.53
  6. Step 6: Final answer
    x = 13,574.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.