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Finding the Fourth Proportional to 17,670.48, 24,384.15 and 9,711.96

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Solution

The fourth proportional to 17,670.48, 24,384.15 and 9,711.96 is: 13,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.48 : 24,384.15 = 9,711.96 : x
  2. Step 2: Convert to fraction form
    17,670.48/24,384.15 = 9,711.96/x
  3. Step 3: Cross multiply
    17,670.48x = 24,384.15 × 9,711.96
  4. Step 4: Simplify right side
    17,670.48x = 236,817,889.43
  5. Step 5: Solve for x
    x = 236,817,889.43/17,670.48
  6. Step 6: Final answer
    x = 13,401.89

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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.