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Finding the Fourth Proportional to 22,689.41, 31,308.99 and 12,616.23

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Solution

The fourth proportional to 22,689.41, 31,308.99 and 12,616.23 is: 17,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,689.41 : 31,308.99 = 12,616.23 : x
  2. Step 2: Convert to fraction form
    22,689.41/31,308.99 = 12,616.23/x
  3. Step 3: Cross multiply
    22,689.41x = 31,308.99 × 12,616.23
  4. Step 4: Simplify right side
    22,689.41x = 395,001,199.28
  5. Step 5: Solve for x
    x = 395,001,199.28/22,689.41
  6. Step 6: Final answer
    x = 17,409.06

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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.