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Finding the Fourth Proportional to 19,816.64, 29,695.78 and 8,713.16

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Solution

The fourth proportional to 19,816.64, 29,695.78 and 8,713.16 is: 13,056.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,816.64 : 29,695.78 = 8,713.16 : x
  2. Step 2: Convert to fraction form
    19,816.64/29,695.78 = 8,713.16/x
  3. Step 3: Cross multiply
    19,816.64x = 29,695.78 × 8,713.16
  4. Step 4: Simplify right side
    19,816.64x = 258,744,082.46
  5. Step 5: Solve for x
    x = 258,744,082.46/19,816.64
  6. Step 6: Final answer
    x = 13,056.91

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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.