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Finding the Fourth Proportional to 17,527.59, 24,188.16 and 9,570

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Solution

The fourth proportional to 17,527.59, 24,188.16 and 9,570 is: 13,206.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,527.59 : 24,188.16 = 9,570 : x
  2. Step 2: Convert to fraction form
    17,527.59/24,188.16 = 9,570/x
  3. Step 3: Cross multiply
    17,527.59x = 24,188.16 × 9,570
  4. Step 4: Simplify right side
    17,527.59x = 231,480,691.20
  5. Step 5: Solve for x
    x = 231,480,691.20/17,527.59
  6. Step 6: Final answer
    x = 13,206.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.