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Finding the Fourth Proportional to 16,344.47, 22,554.68 and 9,630.38

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Solution

The fourth proportional to 16,344.47, 22,554.68 and 9,630.38 is: 13,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344.47 : 22,554.68 = 9,630.38 : x
  2. Step 2: Convert to fraction form
    16,344.47/22,554.68 = 9,630.38/x
  3. Step 3: Cross multiply
    16,344.47x = 22,554.68 × 9,630.38
  4. Step 4: Simplify right side
    16,344.47x = 217,210,139.18
  5. Step 5: Solve for x
    x = 217,210,139.18/16,344.47
  6. Step 6: Final answer
    x = 13,289.52

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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.