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Finding the Fourth Proportional to 22,288.98, 30,752.66 and 13,787

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Solution

The fourth proportional to 22,288.98, 30,752.66 and 13,787 is: 19,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,288.98 : 30,752.66 = 13,787 : x
  2. Step 2: Convert to fraction form
    22,288.98/30,752.66 = 13,787/x
  3. Step 3: Cross multiply
    22,288.98x = 30,752.66 × 13,787
  4. Step 4: Simplify right side
    22,288.98x = 423,986,923.42
  5. Step 5: Solve for x
    x = 423,986,923.42/22,288.98
  6. Step 6: Final answer
    x = 19,022.27

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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.