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Finding the Fourth Proportional to 21,854.67, 30,159.40 and 12,294.57

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Solution

The fourth proportional to 21,854.67, 30,159.40 and 12,294.57 is: 16,966.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.67 : 30,159.40 = 12,294.57 : x
  2. Step 2: Convert to fraction form
    21,854.67/30,159.40 = 12,294.57/x
  3. Step 3: Cross multiply
    21,854.67x = 30,159.40 × 12,294.57
  4. Step 4: Simplify right side
    21,854.67x = 370,796,756.73
  5. Step 5: Solve for x
    x = 370,796,756.73/21,854.67
  6. Step 6: Final answer
    x = 16,966.48

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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.