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Finding the Fourth Proportional to 25,711.80, 38,567.70 and 14,047.80

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Solution

The fourth proportional to 25,711.80, 38,567.70 and 14,047.80 is: 21,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,711.80 : 38,567.70 = 14,047.80 : x
  2. Step 2: Convert to fraction form
    25,711.80/38,567.70 = 14,047.80/x
  3. Step 3: Cross multiply
    25,711.80x = 38,567.70 × 14,047.80
  4. Step 4: Simplify right side
    25,711.80x = 541,791,336.06
  5. Step 5: Solve for x
    x = 541,791,336.06/25,711.80
  6. Step 6: Final answer
    x = 21,071.70

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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.