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Finding the Fourth Proportional to 14,320, 19,761.60 and 8,032.38

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Solution

The fourth proportional to 14,320, 19,761.60 and 8,032.38 is: 11,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,320 : 19,761.60 = 8,032.38 : x
  2. Step 2: Convert to fraction form
    14,320/19,761.60 = 8,032.38/x
  3. Step 3: Cross multiply
    14,320x = 19,761.60 × 8,032.38
  4. Step 4: Simplify right side
    14,320x = 158,732,680.61
  5. Step 5: Solve for x
    x = 158,732,680.61/14,320
  6. Step 6: Final answer
    x = 11,084.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.