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Finding the Fourth Proportional to 15,854.65, 21,879.68 and 8,684.46

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Solution

The fourth proportional to 15,854.65, 21,879.68 and 8,684.46 is: 11,984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.65 : 21,879.68 = 8,684.46 : x
  2. Step 2: Convert to fraction form
    15,854.65/21,879.68 = 8,684.46/x
  3. Step 3: Cross multiply
    15,854.65x = 21,879.68 × 8,684.46
  4. Step 4: Simplify right side
    15,854.65x = 190,013,162.35
  5. Step 5: Solve for x
    x = 190,013,162.35/15,854.65
  6. Step 6: Final answer
    x = 11,984.70

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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.