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Finding the Fourth Proportional to 22,784.75, 31,444.17 and 13,356.35

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Solution

The fourth proportional to 22,784.75, 31,444.17 and 13,356.35 is: 18,432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784.75 : 31,444.17 = 13,356.35 : x
  2. Step 2: Convert to fraction form
    22,784.75/31,444.17 = 13,356.35/x
  3. Step 3: Cross multiply
    22,784.75x = 31,444.17 × 13,356.35
  4. Step 4: Simplify right side
    22,784.75x = 419,979,339.98
  5. Step 5: Solve for x
    x = 419,979,339.98/22,784.75
  6. Step 6: Final answer
    x = 18,432.48

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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.