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Finding the Fourth Proportional to 22,642.84, 31,242.16 and 13,690.20

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Solution

The fourth proportional to 22,642.84, 31,242.16 and 13,690.20 is: 18,889.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.84 : 31,242.16 = 13,690.20 : x
  2. Step 2: Convert to fraction form
    22,642.84/31,242.16 = 13,690.20/x
  3. Step 3: Cross multiply
    22,642.84x = 31,242.16 × 13,690.20
  4. Step 4: Simplify right side
    22,642.84x = 427,711,418.83
  5. Step 5: Solve for x
    x = 427,711,418.83/22,642.84
  6. Step 6: Final answer
    x = 18,889.48

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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.