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Finding the Fourth Proportional to 11,565.90, 17,368.38 and 10,974.06

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Solution

The fourth proportional to 11,565.90, 17,368.38 and 10,974.06 is: 16,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.90 : 17,368.38 = 10,974.06 : x
  2. Step 2: Convert to fraction form
    11,565.90/17,368.38 = 10,974.06/x
  3. Step 3: Cross multiply
    11,565.90x = 17,368.38 × 10,974.06
  4. Step 4: Simplify right side
    11,565.90x = 190,601,644.22
  5. Step 5: Solve for x
    x = 190,601,644.22/11,565.90
  6. Step 6: Final answer
    x = 16,479.62

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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.