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Finding the Fourth Proportional to 15,443.87, 23,206.77 and 8,429.00

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Solution

The fourth proportional to 15,443.87, 23,206.77 and 8,429.00 is: 12,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,443.87 : 23,206.77 = 8,429.00 : x
  2. Step 2: Convert to fraction form
    15,443.87/23,206.77 = 8,429.00/x
  3. Step 3: Cross multiply
    15,443.87x = 23,206.77 × 8,429.00
  4. Step 4: Simplify right side
    15,443.87x = 195,609,748.30
  5. Step 5: Solve for x
    x = 195,609,748.30/15,443.87
  6. Step 6: Final answer
    x = 12,665.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.