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Finding the Fourth Proportional to 22,320, 30,801.60 and 12,384

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Solution

The fourth proportional to 22,320, 30,801.60 and 12,384 is: 17,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,320 : 30,801.60 = 12,384 : x
  2. Step 2: Convert to fraction form
    22,320/30,801.60 = 12,384/x
  3. Step 3: Cross multiply
    22,320x = 30,801.60 × 12,384
  4. Step 4: Simplify right side
    22,320x = 381,447,014.40
  5. Step 5: Solve for x
    x = 381,447,014.40/22,320
  6. Step 6: Final answer
    x = 17,089.92

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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.