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Finding the Fourth Proportional to 10,598.75, 15,873.52 and 10,229.69

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Solution

The fourth proportional to 10,598.75, 15,873.52 and 10,229.69 is: 15,320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.75 : 15,873.52 = 10,229.69 : x
  2. Step 2: Convert to fraction form
    10,598.75/15,873.52 = 10,229.69/x
  3. Step 3: Cross multiply
    10,598.75x = 15,873.52 × 10,229.69
  4. Step 4: Simplify right side
    10,598.75x = 162,381,222.10
  5. Step 5: Solve for x
    x = 162,381,222.10/10,598.75
  6. Step 6: Final answer
    x = 15,320.79

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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.