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Finding the Fourth Proportional to 17,599.32, 24,277.86 and 10,882.80

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Solution

The fourth proportional to 17,599.32, 24,277.86 and 10,882.80 is: 15,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,599.32 : 24,277.86 = 10,882.80 : x
  2. Step 2: Convert to fraction form
    17,599.32/24,277.86 = 10,882.80/x
  3. Step 3: Cross multiply
    17,599.32x = 24,277.86 × 10,882.80
  4. Step 4: Simplify right side
    17,599.32x = 264,211,094.81
  5. Step 5: Solve for x
    x = 264,211,094.81/17,599.32
  6. Step 6: Final answer
    x = 15,012.57

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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.