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Finding the Fourth Proportional to 24,146.32, 33,320.52 and 13,534

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Solution

The fourth proportional to 24,146.32, 33,320.52 and 13,534 is: 18,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146.32 : 33,320.52 = 13,534 : x
  2. Step 2: Convert to fraction form
    24,146.32/33,320.52 = 13,534/x
  3. Step 3: Cross multiply
    24,146.32x = 33,320.52 × 13,534
  4. Step 4: Simplify right side
    24,146.32x = 450,959,917.68
  5. Step 5: Solve for x
    x = 450,959,917.68/24,146.32
  6. Step 6: Final answer
    x = 18,676.13

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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.