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Finding the Fourth Proportional to 25,871.68, 35,702.88 and 14,693.44

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Solution

The fourth proportional to 25,871.68, 35,702.88 and 14,693.44 is: 20,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,871.68 : 35,702.88 = 14,693.44 : x
  2. Step 2: Convert to fraction form
    25,871.68/35,702.88 = 14,693.44/x
  3. Step 3: Cross multiply
    25,871.68x = 35,702.88 × 14,693.44
  4. Step 4: Simplify right side
    25,871.68x = 524,598,125.11
  5. Step 5: Solve for x
    x = 524,598,125.11/25,871.68
  6. Step 6: Final answer
    x = 20,276.93

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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.