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Finding the Fourth Proportional to 21,394.38, 32,095.22 and 9,552.59

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Solution

The fourth proportional to 21,394.38, 32,095.22 and 9,552.59 is: 14,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,394.38 : 32,095.22 = 9,552.59 : x
  2. Step 2: Convert to fraction form
    21,394.38/32,095.22 = 9,552.59/x
  3. Step 3: Cross multiply
    21,394.38x = 32,095.22 × 9,552.59
  4. Step 4: Simplify right side
    21,394.38x = 306,592,269.38
  5. Step 5: Solve for x
    x = 306,592,269.38/21,394.38
  6. Step 6: Final answer
    x = 14,330.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.