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Finding the Fourth Proportional to 14,142.57, 19,517.34 and 7,854.95

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Solution

The fourth proportional to 14,142.57, 19,517.34 and 7,854.95 is: 10,840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.57 : 19,517.34 = 7,854.95 : x
  2. Step 2: Convert to fraction form
    14,142.57/19,517.34 = 7,854.95/x
  3. Step 3: Cross multiply
    14,142.57x = 19,517.34 × 7,854.95
  4. Step 4: Simplify right side
    14,142.57x = 153,307,632.25
  5. Step 5: Solve for x
    x = 153,307,632.25/14,142.57
  6. Step 6: Final answer
    x = 10,840.15

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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.