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Finding the Fourth Proportional to 10,429.99, 15,644.85 and 2,532.57

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Solution

The fourth proportional to 10,429.99, 15,644.85 and 2,532.57 is: 3,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.99 : 15,644.85 = 2,532.57 : x
  2. Step 2: Convert to fraction form
    10,429.99/15,644.85 = 2,532.57/x
  3. Step 3: Cross multiply
    10,429.99x = 15,644.85 × 2,532.57
  4. Step 4: Simplify right side
    10,429.99x = 39,621,675.60
  5. Step 5: Solve for x
    x = 39,621,675.60/10,429.99
  6. Step 6: Final answer
    x = 3,798.82

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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.