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Finding the Fourth Proportional to 22,643.42, 31,248.70 and 13,689.14

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Solution

The fourth proportional to 22,643.42, 31,248.70 and 13,689.14 is: 18,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,643.42 : 31,248.70 = 13,689.14 : x
  2. Step 2: Convert to fraction form
    22,643.42/31,248.70 = 13,689.14/x
  3. Step 3: Cross multiply
    22,643.42x = 31,248.70 × 13,689.14
  4. Step 4: Simplify right side
    22,643.42x = 427,767,829.12
  5. Step 5: Solve for x
    x = 427,767,829.12/22,643.42
  6. Step 6: Final answer
    x = 18,891.48

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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.