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Finding the Fourth Proportional to 22,320.64, 30,801.28 and 12,384

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Solution

The fourth proportional to 22,320.64, 30,801.28 and 12,384 is: 17,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,320.64 : 30,801.28 = 12,384 : x
  2. Step 2: Convert to fraction form
    22,320.64/30,801.28 = 12,384/x
  3. Step 3: Cross multiply
    22,320.64x = 30,801.28 × 12,384
  4. Step 4: Simplify right side
    22,320.64x = 381,443,051.52
  5. Step 5: Solve for x
    x = 381,443,051.52/22,320.64
  6. Step 6: Final answer
    x = 17,089.25

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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.