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Finding the Fourth Proportional to 24,520, 33,838.14 and 13,342

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Solution

The fourth proportional to 24,520, 33,838.14 and 13,342 is: 18,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,520 : 33,838.14 = 13,342 : x
  2. Step 2: Convert to fraction form
    24,520/33,838.14 = 13,342/x
  3. Step 3: Cross multiply
    24,520x = 33,838.14 × 13,342
  4. Step 4: Simplify right side
    24,520x = 451,468,463.88
  5. Step 5: Solve for x
    x = 451,468,463.88/24,520
  6. Step 6: Final answer
    x = 18,412.25

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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.