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Finding the Fourth Proportional to 20,476.32, 30,715.08 and 5,686.32

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Solution

The fourth proportional to 20,476.32, 30,715.08 and 5,686.32 is: 8,529.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,476.32 : 30,715.08 = 5,686.32 : x
  2. Step 2: Convert to fraction form
    20,476.32/30,715.08 = 5,686.32/x
  3. Step 3: Cross multiply
    20,476.32x = 30,715.08 × 5,686.32
  4. Step 4: Simplify right side
    20,476.32x = 174,655,773.71
  5. Step 5: Solve for x
    x = 174,655,773.71/20,476.32
  6. Step 6: Final answer
    x = 8,529.65

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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.