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Finding the Fourth Proportional to 20,282.67, 30,382.69 and 16,547.76

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Solution

The fourth proportional to 20,282.67, 30,382.69 and 16,547.76 is: 24,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,282.67 : 30,382.69 = 16,547.76 : x
  2. Step 2: Convert to fraction form
    20,282.67/30,382.69 = 16,547.76/x
  3. Step 3: Cross multiply
    20,282.67x = 30,382.69 × 16,547.76
  4. Step 4: Simplify right side
    20,282.67x = 502,765,462.27
  5. Step 5: Solve for x
    x = 502,765,462.27/20,282.67
  6. Step 6: Final answer
    x = 24,787.93

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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.