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Finding the Fourth Proportional to 17,424.32, 26,132.16 and 8,188.16

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Solution

The fourth proportional to 17,424.32, 26,132.16 and 8,188.16 is: 12,280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,424.32 : 26,132.16 = 8,188.16 : x
  2. Step 2: Convert to fraction form
    17,424.32/26,132.16 = 8,188.16/x
  3. Step 3: Cross multiply
    17,424.32x = 26,132.16 × 8,188.16
  4. Step 4: Simplify right side
    17,424.32x = 213,974,307.23
  5. Step 5: Solve for x
    x = 213,974,307.23/17,424.32
  6. Step 6: Final answer
    x = 12,280.21

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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.