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Finding the Fourth Proportional to 25,497.79, 38,240.91 and 9,697.19

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Solution

The fourth proportional to 25,497.79, 38,240.91 and 9,697.19 is: 14,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497.79 : 38,240.91 = 9,697.19 : x
  2. Step 2: Convert to fraction form
    25,497.79/38,240.91 = 9,697.19/x
  3. Step 3: Cross multiply
    25,497.79x = 38,240.91 × 9,697.19
  4. Step 4: Simplify right side
    25,497.79x = 370,829,370.04
  5. Step 5: Solve for x
    x = 370,829,370.04/25,497.79
  6. Step 6: Final answer
    x = 14,543.59

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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.