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Finding the Fourth Proportional to 15,627.99, 23,429.85 and 7,725.06

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Solution

The fourth proportional to 15,627.99, 23,429.85 and 7,725.06 is: 11,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,627.99 : 23,429.85 = 7,725.06 : x
  2. Step 2: Convert to fraction form
    15,627.99/23,429.85 = 7,725.06/x
  3. Step 3: Cross multiply
    15,627.99x = 23,429.85 × 7,725.06
  4. Step 4: Simplify right side
    15,627.99x = 180,996,997.04
  5. Step 5: Solve for x
    x = 180,996,997.04/15,627.99
  6. Step 6: Final answer
    x = 11,581.59

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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.