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Finding the Fourth Proportional to 17,670.47, 24,384.75 and 9,711.60

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Solution

The fourth proportional to 17,670.47, 24,384.75 and 9,711.60 is: 13,401.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,670.47 : 24,384.75 = 9,711.60 : x
  2. Step 2: Convert to fraction form
    17,670.47/24,384.75 = 9,711.60/x
  3. Step 3: Cross multiply
    17,670.47x = 24,384.75 × 9,711.60
  4. Step 4: Simplify right side
    17,670.47x = 236,814,938.10
  5. Step 5: Solve for x
    x = 236,814,938.10/17,670.47
  6. Step 6: Final answer
    x = 13,401.74

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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.