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Finding the Fourth Proportional to 21,854.66, 30,159.12 and 12,293.82

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Solution

The fourth proportional to 21,854.66, 30,159.12 and 12,293.82 is: 16,965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.66 : 30,159.12 = 12,293.82 : x
  2. Step 2: Convert to fraction form
    21,854.66/30,159.12 = 12,293.82/x
  3. Step 3: Cross multiply
    21,854.66x = 30,159.12 × 12,293.82
  4. Step 4: Simplify right side
    21,854.66x = 370,770,792.64
  5. Step 5: Solve for x
    x = 370,770,792.64/21,854.66
  6. Step 6: Final answer
    x = 16,965.30

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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.