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Finding the Fourth Proportional to 22,850.88, 31,534.64 and 12,780.43

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Solution

The fourth proportional to 22,850.88, 31,534.64 and 12,780.43 is: 17,637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,850.88 : 31,534.64 = 12,780.43 : x
  2. Step 2: Convert to fraction form
    22,850.88/31,534.64 = 12,780.43/x
  3. Step 3: Cross multiply
    22,850.88x = 31,534.64 × 12,780.43
  4. Step 4: Simplify right side
    22,850.88x = 403,026,259.10
  5. Step 5: Solve for x
    x = 403,026,259.10/22,850.88
  6. Step 6: Final answer
    x = 17,637.23

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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.