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Finding the Fourth Proportional to 25,532.38, 38,292.66 and 9,739.18

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Solution

The fourth proportional to 25,532.38, 38,292.66 and 9,739.18 is: 14,606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,532.38 : 38,292.66 = 9,739.18 : x
  2. Step 2: Convert to fraction form
    25,532.38/38,292.66 = 9,739.18/x
  3. Step 3: Cross multiply
    25,532.38x = 38,292.66 × 9,739.18
  4. Step 4: Simplify right side
    25,532.38x = 372,939,108.42
  5. Step 5: Solve for x
    x = 372,939,108.42/25,532.38
  6. Step 6: Final answer
    x = 14,606.52

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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.