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Finding the Fourth Proportional to 13,216.74, 19,825.11 and 5,432.10

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Solution

The fourth proportional to 13,216.74, 19,825.11 and 5,432.10 is: 8,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,216.74 : 19,825.11 = 5,432.10 : x
  2. Step 2: Convert to fraction form
    13,216.74/19,825.11 = 5,432.10/x
  3. Step 3: Cross multiply
    13,216.74x = 19,825.11 × 5,432.10
  4. Step 4: Simplify right side
    13,216.74x = 107,691,980.03
  5. Step 5: Solve for x
    x = 107,691,980.03/13,216.74
  6. Step 6: Final answer
    x = 8,148.15

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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.