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Finding the Fourth Proportional to 13,157.60, 19,719.12 and 6,234.08

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Solution

The fourth proportional to 13,157.60, 19,719.12 and 6,234.08 is: 9,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,157.60 : 19,719.12 = 6,234.08 : x
  2. Step 2: Convert to fraction form
    13,157.60/19,719.12 = 6,234.08/x
  3. Step 3: Cross multiply
    13,157.60x = 19,719.12 × 6,234.08
  4. Step 4: Simplify right side
    13,157.60x = 122,930,571.61
  5. Step 5: Solve for x
    x = 122,930,571.61/13,157.60
  6. Step 6: Final answer
    x = 9,342.93

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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.