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Finding the Fourth Proportional to 22,589.40, 33,838.74 and 12,713.88

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Solution

The fourth proportional to 22,589.40, 33,838.74 and 12,713.88 is: 19,045.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,589.40 : 33,838.74 = 12,713.88 : x
  2. Step 2: Convert to fraction form
    22,589.40/33,838.74 = 12,713.88/x
  3. Step 3: Cross multiply
    22,589.40x = 33,838.74 × 12,713.88
  4. Step 4: Simplify right side
    22,589.40x = 430,221,679.71
  5. Step 5: Solve for x
    x = 430,221,679.71/22,589.40
  6. Step 6: Final answer
    x = 19,045.29

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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.