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Finding the Fourth Proportional to 24,527, 33,847.26 and 13,349

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Solution

The fourth proportional to 24,527, 33,847.26 and 13,349 is: 18,421.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,527 : 33,847.26 = 13,349 : x
  2. Step 2: Convert to fraction form
    24,527/33,847.26 = 13,349/x
  3. Step 3: Cross multiply
    24,527x = 33,847.26 × 13,349
  4. Step 4: Simplify right side
    24,527x = 451,827,073.74
  5. Step 5: Solve for x
    x = 451,827,073.74/24,527
  6. Step 6: Final answer
    x = 18,421.62

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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.