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Finding the Fourth Proportional to 22,520.86, 31,077.43 and 12,448.69

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Solution

The fourth proportional to 22,520.86, 31,077.43 and 12,448.69 is: 17,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.86 : 31,077.43 = 12,448.69 : x
  2. Step 2: Convert to fraction form
    22,520.86/31,077.43 = 12,448.69/x
  3. Step 3: Cross multiply
    22,520.86x = 31,077.43 × 12,448.69
  4. Step 4: Simplify right side
    22,520.86x = 386,873,338.64
  5. Step 5: Solve for x
    x = 386,873,338.64/22,520.86
  6. Step 6: Final answer
    x = 17,178.45

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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.