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Finding the Fourth Proportional to 22,614.12, 31,205.07 and 12,539.88

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Solution

The fourth proportional to 22,614.12, 31,205.07 and 12,539.88 is: 17,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,614.12 : 31,205.07 = 12,539.88 : x
  2. Step 2: Convert to fraction form
    22,614.12/31,205.07 = 12,539.88/x
  3. Step 3: Cross multiply
    22,614.12x = 31,205.07 × 12,539.88
  4. Step 4: Simplify right side
    22,614.12x = 391,307,833.19
  5. Step 5: Solve for x
    x = 391,307,833.19/22,614.12
  6. Step 6: Final answer
    x = 17,303.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.