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Finding the Fourth Proportional to 22,860.86, 31,550.24 and 14,369.38

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Solution

The fourth proportional to 22,860.86, 31,550.24 and 14,369.38 is: 19,831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,860.86 : 31,550.24 = 14,369.38 : x
  2. Step 2: Convert to fraction form
    22,860.86/31,550.24 = 14,369.38/x
  3. Step 3: Cross multiply
    22,860.86x = 31,550.24 × 14,369.38
  4. Step 4: Simplify right side
    22,860.86x = 453,357,387.65
  5. Step 5: Solve for x
    x = 453,357,387.65/22,860.86
  6. Step 6: Final answer
    x = 19,831.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.