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Finding the Fourth Proportional to 22,952.16, 31,673.03 and 12,881.43

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Solution

The fourth proportional to 22,952.16, 31,673.03 and 12,881.43 is: 17,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.16 : 31,673.03 = 12,881.43 : x
  2. Step 2: Convert to fraction form
    22,952.16/31,673.03 = 12,881.43/x
  3. Step 3: Cross multiply
    22,952.16x = 31,673.03 × 12,881.43
  4. Step 4: Simplify right side
    22,952.16x = 407,993,854.43
  5. Step 5: Solve for x
    x = 407,993,854.43/22,952.16
  6. Step 6: Final answer
    x = 17,775.84

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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.