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Finding the Fourth Proportional to 15,713.85, 21,684.75 and 8,543.66

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Solution

The fourth proportional to 15,713.85, 21,684.75 and 8,543.66 is: 11,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.85 : 21,684.75 = 8,543.66 : x
  2. Step 2: Convert to fraction form
    15,713.85/21,684.75 = 8,543.66/x
  3. Step 3: Cross multiply
    15,713.85x = 21,684.75 × 8,543.66
  4. Step 4: Simplify right side
    15,713.85x = 185,267,022.76
  5. Step 5: Solve for x
    x = 185,267,022.76/15,713.85
  6. Step 6: Final answer
    x = 11,790.05

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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.