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Finding the Fourth Proportional to 16,498, 22,767.36 and 9,046

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Solution

The fourth proportional to 16,498, 22,767.36 and 9,046 is: 12,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498 : 22,767.36 = 9,046 : x
  2. Step 2: Convert to fraction form
    16,498/22,767.36 = 9,046/x
  3. Step 3: Cross multiply
    16,498x = 22,767.36 × 9,046
  4. Step 4: Simplify right side
    16,498x = 205,953,538.56
  5. Step 5: Solve for x
    x = 205,953,538.56/16,498
  6. Step 6: Final answer
    x = 12,483.55

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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.