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Finding the Fourth Proportional to 16,382.34, 22,600.80 and 9,307.38

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Solution

The fourth proportional to 16,382.34, 22,600.80 and 9,307.38 is: 12,840.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.34 : 22,600.80 = 9,307.38 : x
  2. Step 2: Convert to fraction form
    16,382.34/22,600.80 = 9,307.38/x
  3. Step 3: Cross multiply
    16,382.34x = 22,600.80 × 9,307.38
  4. Step 4: Simplify right side
    16,382.34x = 210,354,233.90
  5. Step 5: Solve for x
    x = 210,354,233.90/16,382.34
  6. Step 6: Final answer
    x = 12,840.30

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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.