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Finding the Fourth Proportional to 13,718.64, 20,577.51 and 5,816.07

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Solution

The fourth proportional to 13,718.64, 20,577.51 and 5,816.07 is: 8,723.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.64 : 20,577.51 = 5,816.07 : x
  2. Step 2: Convert to fraction form
    13,718.64/20,577.51 = 5,816.07/x
  3. Step 3: Cross multiply
    13,718.64x = 20,577.51 × 5,816.07
  4. Step 4: Simplify right side
    13,718.64x = 119,680,293.94
  5. Step 5: Solve for x
    x = 119,680,293.94/13,718.64
  6. Step 6: Final answer
    x = 8,723.92

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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.