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Finding the Fourth Proportional to 22,616.16, 31,218.48 and 18,417.12

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Solution

The fourth proportional to 22,616.16, 31,218.48 and 18,417.12 is: 25,422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,616.16 : 31,218.48 = 18,417.12 : x
  2. Step 2: Convert to fraction form
    22,616.16/31,218.48 = 18,417.12/x
  3. Step 3: Cross multiply
    22,616.16x = 31,218.48 × 18,417.12
  4. Step 4: Simplify right side
    22,616.16x = 574,954,492.38
  5. Step 5: Solve for x
    x = 574,954,492.38/22,616.16
  6. Step 6: Final answer
    x = 25,422.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.