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Finding the Fourth Proportional to 42,206.80, 63,301.56 and 14,506.96

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Solution

The fourth proportional to 42,206.80, 63,301.56 and 14,506.96 is: 21,757.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,206.80 : 63,301.56 = 14,506.96 : x
  2. Step 2: Convert to fraction form
    42,206.80/63,301.56 = 14,506.96/x
  3. Step 3: Cross multiply
    42,206.80x = 63,301.56 × 14,506.96
  4. Step 4: Simplify right side
    42,206.80x = 918,313,198.86
  5. Step 5: Solve for x
    x = 918,313,198.86/42,206.80
  6. Step 6: Final answer
    x = 21,757.47

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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.