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Finding the Fourth Proportional to 25,702.16, 35,468.52 and 14,523.92

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Solution

The fourth proportional to 25,702.16, 35,468.52 and 14,523.92 is: 20,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702.16 : 35,468.52 = 14,523.92 : x
  2. Step 2: Convert to fraction form
    25,702.16/35,468.52 = 14,523.92/x
  3. Step 3: Cross multiply
    25,702.16x = 35,468.52 × 14,523.92
  4. Step 4: Simplify right side
    25,702.16x = 515,141,947.00
  5. Step 5: Solve for x
    x = 515,141,947.00/25,702.16
  6. Step 6: Final answer
    x = 20,042.75

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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.