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Finding the Fourth Proportional to 24,117.28, 33,282.12 and 13,507

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Solution

The fourth proportional to 24,117.28, 33,282.12 and 13,507 is: 18,639.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,117.28 : 33,282.12 = 13,507 : x
  2. Step 2: Convert to fraction form
    24,117.28/33,282.12 = 13,507/x
  3. Step 3: Cross multiply
    24,117.28x = 33,282.12 × 13,507
  4. Step 4: Simplify right side
    24,117.28x = 449,541,594.84
  5. Step 5: Solve for x
    x = 449,541,594.84/24,117.28
  6. Step 6: Final answer
    x = 18,639.81

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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.