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Finding the Fourth Proportional to 11,642.78, 17,374.72 and 10,397.18

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Solution

The fourth proportional to 11,642.78, 17,374.72 and 10,397.18 is: 15,515.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.78 : 17,374.72 = 10,397.18 : x
  2. Step 2: Convert to fraction form
    11,642.78/17,374.72 = 10,397.18/x
  3. Step 3: Cross multiply
    11,642.78x = 17,374.72 × 10,397.18
  4. Step 4: Simplify right side
    11,642.78x = 180,648,091.29
  5. Step 5: Solve for x
    x = 180,648,091.29/11,642.78
  6. Step 6: Final answer
    x = 15,515.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.