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Finding the Fourth Proportional to 20,472.96, 30,678.17 and 13,784.76

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Solution

The fourth proportional to 20,472.96, 30,678.17 and 13,784.76 is: 20,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472.96 : 30,678.17 = 13,784.76 : x
  2. Step 2: Convert to fraction form
    20,472.96/30,678.17 = 13,784.76/x
  3. Step 3: Cross multiply
    20,472.96x = 30,678.17 × 13,784.76
  4. Step 4: Simplify right side
    20,472.96x = 422,891,130.11
  5. Step 5: Solve for x
    x = 422,891,130.11/20,472.96
  6. Step 6: Final answer
    x = 20,656.08

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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.