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Finding the Fourth Proportional to 22,864.69, 31,550.14 and 13,303.86

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Solution

The fourth proportional to 22,864.69, 31,550.14 and 13,303.86 is: 18,357.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864.69 : 31,550.14 = 13,303.86 : x
  2. Step 2: Convert to fraction form
    22,864.69/31,550.14 = 13,303.86/x
  3. Step 3: Cross multiply
    22,864.69x = 31,550.14 × 13,303.86
  4. Step 4: Simplify right side
    22,864.69x = 419,738,645.54
  5. Step 5: Solve for x
    x = 419,738,645.54/22,864.69
  6. Step 6: Final answer
    x = 18,357.50

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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.