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Finding the Fourth Proportional to 25,293.80, 37,940.70 and 9,711.80

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Solution

The fourth proportional to 25,293.80, 37,940.70 and 9,711.80 is: 14,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,293.80 : 37,940.70 = 9,711.80 : x
  2. Step 2: Convert to fraction form
    25,293.80/37,940.70 = 9,711.80/x
  3. Step 3: Cross multiply
    25,293.80x = 37,940.70 × 9,711.80
  4. Step 4: Simplify right side
    25,293.80x = 368,472,490.26
  5. Step 5: Solve for x
    x = 368,472,490.26/25,293.80
  6. Step 6: Final answer
    x = 14,567.70

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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.