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Finding the Fourth Proportional to 15,834.66, 21,854.50 and 9,119.05

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Solution

The fourth proportional to 15,834.66, 21,854.50 and 9,119.05 is: 12,585.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834.66 : 21,854.50 = 9,119.05 : x
  2. Step 2: Convert to fraction form
    15,834.66/21,854.50 = 9,119.05/x
  3. Step 3: Cross multiply
    15,834.66x = 21,854.50 × 9,119.05
  4. Step 4: Simplify right side
    15,834.66x = 199,292,191.75
  5. Step 5: Solve for x
    x = 199,292,191.75/15,834.66
  6. Step 6: Final answer
    x = 12,585.82

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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.