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Finding the Fourth Proportional to 16,224, 22,389.12 and 9,600

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Solution

The fourth proportional to 16,224, 22,389.12 and 9,600 is: 13,248

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,224 : 22,389.12 = 9,600 : x
  2. Step 2: Convert to fraction form
    16,224/22,389.12 = 9,600/x
  3. Step 3: Cross multiply
    16,224x = 22,389.12 × 9,600
  4. Step 4: Simplify right side
    16,224x = 214,935,552
  5. Step 5: Solve for x
    x = 214,935,552/16,224
  6. Step 6: Final answer
    x = 13,248

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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.