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Finding the Fourth Proportional to 22,685.54, 31,298.82 and 13,730.18

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Solution

The fourth proportional to 22,685.54, 31,298.82 and 13,730.18 is: 18,943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,685.54 : 31,298.82 = 13,730.18 : x
  2. Step 2: Convert to fraction form
    22,685.54/31,298.82 = 13,730.18/x
  3. Step 3: Cross multiply
    22,685.54x = 31,298.82 × 13,730.18
  4. Step 4: Simplify right side
    22,685.54x = 429,738,432.39
  5. Step 5: Solve for x
    x = 429,738,432.39/22,685.54
  6. Step 6: Final answer
    x = 18,943.28

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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.