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Finding the Fourth Proportional to 17,657.72, 24,366.30 and 9,700.46

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Solution

The fourth proportional to 17,657.72, 24,366.30 and 9,700.46 is: 13,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.72 : 24,366.30 = 9,700.46 : x
  2. Step 2: Convert to fraction form
    17,657.72/24,366.30 = 9,700.46/x
  3. Step 3: Cross multiply
    17,657.72x = 24,366.30 × 9,700.46
  4. Step 4: Simplify right side
    17,657.72x = 236,364,318.50
  5. Step 5: Solve for x
    x = 236,364,318.50/17,657.72
  6. Step 6: Final answer
    x = 13,385.89

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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.