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Finding the Fourth Proportional to 24,484.92, 33,793.88 and 13,875

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Solution

The fourth proportional to 24,484.92, 33,793.88 and 13,875 is: 19,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,484.92 : 33,793.88 = 13,875 : x
  2. Step 2: Convert to fraction form
    24,484.92/33,793.88 = 13,875/x
  3. Step 3: Cross multiply
    24,484.92x = 33,793.88 × 13,875
  4. Step 4: Simplify right side
    24,484.92x = 468,890,085.00
  5. Step 5: Solve for x
    x = 468,890,085.00/24,484.92
  6. Step 6: Final answer
    x = 19,150.16

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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.