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Finding the Fourth Proportional to 14,781.65, 22,177.71 and 9,228.56

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Solution

The fourth proportional to 14,781.65, 22,177.71 and 9,228.56 is: 13,846.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,781.65 : 22,177.71 = 9,228.56 : x
  2. Step 2: Convert to fraction form
    14,781.65/22,177.71 = 9,228.56/x
  3. Step 3: Cross multiply
    14,781.65x = 22,177.71 × 9,228.56
  4. Step 4: Simplify right side
    14,781.65x = 204,668,216.51
  5. Step 5: Solve for x
    x = 204,668,216.51/14,781.65
  6. Step 6: Final answer
    x = 13,846.11

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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.