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Finding the Fourth Proportional to 24,587.28, 33,928.56 and 15,156

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Solution

The fourth proportional to 24,587.28, 33,928.56 and 15,156 is: 20,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,587.28 : 33,928.56 = 15,156 : x
  2. Step 2: Convert to fraction form
    24,587.28/33,928.56 = 15,156/x
  3. Step 3: Cross multiply
    24,587.28x = 33,928.56 × 15,156
  4. Step 4: Simplify right side
    24,587.28x = 514,221,255.36
  5. Step 5: Solve for x
    x = 514,221,255.36/24,587.28
  6. Step 6: Final answer
    x = 20,914.12

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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.