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Finding the Fourth Proportional to 15,782.20, 21,779.41 and 8,708.62

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Solution

The fourth proportional to 15,782.20, 21,779.41 and 8,708.62 is: 12,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,782.20 : 21,779.41 = 8,708.62 : x
  2. Step 2: Convert to fraction form
    15,782.20/21,779.41 = 8,708.62/x
  3. Step 3: Cross multiply
    15,782.20x = 21,779.41 × 8,708.62
  4. Step 4: Simplify right side
    15,782.20x = 189,668,605.51
  5. Step 5: Solve for x
    x = 189,668,605.51/15,782.20
  6. Step 6: Final answer
    x = 12,017.88

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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.