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Finding the Fourth Proportional to 22,252.50, 30,708.48 and 13,869

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Solution

The fourth proportional to 22,252.50, 30,708.48 and 13,869 is: 19,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,252.50 : 30,708.48 = 13,869 : x
  2. Step 2: Convert to fraction form
    22,252.50/30,708.48 = 13,869/x
  3. Step 3: Cross multiply
    22,252.50x = 30,708.48 × 13,869
  4. Step 4: Simplify right side
    22,252.50x = 425,895,909.12
  5. Step 5: Solve for x
    x = 425,895,909.12/22,252.50
  6. Step 6: Final answer
    x = 19,139.24

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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.