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Finding the Fourth Proportional to 20,284.66, 30,385.68 and 16,549.75

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Solution

The fourth proportional to 20,284.66, 30,385.68 and 16,549.75 is: 24,790.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,284.66 : 30,385.68 = 16,549.75 : x
  2. Step 2: Convert to fraction form
    20,284.66/30,385.68 = 16,549.75/x
  3. Step 3: Cross multiply
    20,284.66x = 30,385.68 × 16,549.75
  4. Step 4: Simplify right side
    20,284.66x = 502,875,407.58
  5. Step 5: Solve for x
    x = 502,875,407.58/20,284.66
  6. Step 6: Final answer
    x = 24,790.92

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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.