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Finding the Fourth Proportional to 22,578.52, 31,164.84 and 13,624.50

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Solution

The fourth proportional to 22,578.52, 31,164.84 and 13,624.50 is: 18,805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.52 : 31,164.84 = 13,624.50 : x
  2. Step 2: Convert to fraction form
    22,578.52/31,164.84 = 13,624.50/x
  3. Step 3: Cross multiply
    22,578.52x = 31,164.84 × 13,624.50
  4. Step 4: Simplify right side
    22,578.52x = 424,605,362.58
  5. Step 5: Solve for x
    x = 424,605,362.58/22,578.52
  6. Step 6: Final answer
    x = 18,805.72

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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.