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Finding the Fourth Proportional to 14,876.40, 22,314.64 and 6,105.16

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Solution

The fourth proportional to 14,876.40, 22,314.64 and 6,105.16 is: 9,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,876.40 : 22,314.64 = 6,105.16 : x
  2. Step 2: Convert to fraction form
    14,876.40/22,314.64 = 6,105.16/x
  3. Step 3: Cross multiply
    14,876.40x = 22,314.64 × 6,105.16
  4. Step 4: Simplify right side
    14,876.40x = 136,234,447.54
  5. Step 5: Solve for x
    x = 136,234,447.54/14,876.40
  6. Step 6: Final answer
    x = 9,157.76

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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.