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Finding the Fourth Proportional to 13,147.20, 19,712.16 and 5,348.16

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Solution

The fourth proportional to 13,147.20, 19,712.16 and 5,348.16 is: 8,018.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.20 : 19,712.16 = 5,348.16 : x
  2. Step 2: Convert to fraction form
    13,147.20/19,712.16 = 5,348.16/x
  3. Step 3: Cross multiply
    13,147.20x = 19,712.16 × 5,348.16
  4. Step 4: Simplify right side
    13,147.20x = 105,423,785.63
  5. Step 5: Solve for x
    x = 105,423,785.63/13,147.20
  6. Step 6: Final answer
    x = 8,018.73

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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.