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Finding the Fourth Proportional to 14,244.38, 19,641.24 and 9,201.95

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Solution

The fourth proportional to 14,244.38, 19,641.24 and 9,201.95 is: 12,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,244.38 : 19,641.24 = 9,201.95 : x
  2. Step 2: Convert to fraction form
    14,244.38/19,641.24 = 9,201.95/x
  3. Step 3: Cross multiply
    14,244.38x = 19,641.24 × 9,201.95
  4. Step 4: Simplify right side
    14,244.38x = 180,737,610.21
  5. Step 5: Solve for x
    x = 180,737,610.21/14,244.38
  6. Step 6: Final answer
    x = 12,688.35

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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.