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Finding the Fourth Proportional to 25,292.30, 37,938.45 and 9,710.30

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Solution

The fourth proportional to 25,292.30, 37,938.45 and 9,710.30 is: 14,565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,292.30 : 37,938.45 = 9,710.30 : x
  2. Step 2: Convert to fraction form
    25,292.30/37,938.45 = 9,710.30/x
  3. Step 3: Cross multiply
    25,292.30x = 37,938.45 × 9,710.30
  4. Step 4: Simplify right side
    25,292.30x = 368,393,731.04
  5. Step 5: Solve for x
    x = 368,393,731.04/25,292.30
  6. Step 6: Final answer
    x = 14,565.45

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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.