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Finding the Fourth Proportional to 22,962.64, 31,689.48 and 17,986

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Solution

The fourth proportional to 22,962.64, 31,689.48 and 17,986 is: 24,821.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,962.64 : 31,689.48 = 17,986 : x
  2. Step 2: Convert to fraction form
    22,962.64/31,689.48 = 17,986/x
  3. Step 3: Cross multiply
    22,962.64x = 31,689.48 × 17,986
  4. Step 4: Simplify right side
    22,962.64x = 569,966,987.28
  5. Step 5: Solve for x
    x = 569,966,987.28/22,962.64
  6. Step 6: Final answer
    x = 24,821.49

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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.