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Finding the Fourth Proportional to 19,878.92, 27,432.91 and 10,927

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Solution

The fourth proportional to 19,878.92, 27,432.91 and 10,927 is: 15,079.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.92 : 27,432.91 = 10,927 : x
  2. Step 2: Convert to fraction form
    19,878.92/27,432.91 = 10,927/x
  3. Step 3: Cross multiply
    19,878.92x = 27,432.91 × 10,927
  4. Step 4: Simplify right side
    19,878.92x = 299,759,407.57
  5. Step 5: Solve for x
    x = 299,759,407.57/19,878.92
  6. Step 6: Final answer
    x = 15,079.26

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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.