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Finding the Fourth Proportional to 16,484, 22,747.92 and 9,031.84

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Solution

The fourth proportional to 16,484, 22,747.92 and 9,031.84 is: 12,463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,484 : 22,747.92 = 9,031.84 : x
  2. Step 2: Convert to fraction form
    16,484/22,747.92 = 9,031.84/x
  3. Step 3: Cross multiply
    16,484x = 22,747.92 × 9,031.84
  4. Step 4: Simplify right side
    16,484x = 205,455,573.77
  5. Step 5: Solve for x
    x = 205,455,573.77/16,484
  6. Step 6: Final answer
    x = 12,463.94

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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.