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Finding the Fourth Proportional to 22,044.64, 30,422.32 and 12,484.38

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Solution

The fourth proportional to 22,044.64, 30,422.32 and 12,484.38 is: 17,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,044.64 : 30,422.32 = 12,484.38 : x
  2. Step 2: Convert to fraction form
    22,044.64/30,422.32 = 12,484.38/x
  3. Step 3: Cross multiply
    22,044.64x = 30,422.32 × 12,484.38
  4. Step 4: Simplify right side
    22,044.64x = 379,803,715.11
  5. Step 5: Solve for x
    x = 379,803,715.11/22,044.64
  6. Step 6: Final answer
    x = 17,228.85

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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.