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Finding the Fourth Proportional to 21,686.85, 32,542.58 and 10,000.07

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Solution

The fourth proportional to 21,686.85, 32,542.58 and 10,000.07 is: 15,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,686.85 : 32,542.58 = 10,000.07 : x
  2. Step 2: Convert to fraction form
    21,686.85/32,542.58 = 10,000.07/x
  3. Step 3: Cross multiply
    21,686.85x = 32,542.58 × 10,000.07
  4. Step 4: Simplify right side
    21,686.85x = 325,428,077.98
  5. Step 5: Solve for x
    x = 325,428,077.98/21,686.85
  6. Step 6: Final answer
    x = 15,005.78

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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.