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Finding the Fourth Proportional to 11,565.22, 17,338.11 and 9,368.50

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Solution

The fourth proportional to 11,565.22, 17,338.11 and 9,368.50 is: 14,044.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.22 : 17,338.11 = 9,368.50 : x
  2. Step 2: Convert to fraction form
    11,565.22/17,338.11 = 9,368.50/x
  3. Step 3: Cross multiply
    11,565.22x = 17,338.11 × 9,368.50
  4. Step 4: Simplify right side
    11,565.22x = 162,432,083.54
  5. Step 5: Solve for x
    x = 162,432,083.54/11,565.22
  6. Step 6: Final answer
    x = 14,044.88

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