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Finding the Fourth Proportional to 22,920.40, 31,628.84 and 12,848.16

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Solution

The fourth proportional to 22,920.40, 31,628.84 and 12,848.16 is: 17,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,920.40 : 31,628.84 = 12,848.16 : x
  2. Step 2: Convert to fraction form
    22,920.40/31,628.84 = 12,848.16/x
  3. Step 3: Cross multiply
    22,920.40x = 31,628.84 × 12,848.16
  4. Step 4: Simplify right side
    22,920.40x = 406,372,396.93
  5. Step 5: Solve for x
    x = 406,372,396.93/22,920.40
  6. Step 6: Final answer
    x = 17,729.73

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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.