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Finding the Fourth Proportional to 17,232.84, 25,815.78 and 10,099.78

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Solution

The fourth proportional to 17,232.84, 25,815.78 and 10,099.78 is: 15,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,232.84 : 25,815.78 = 10,099.78 : x
  2. Step 2: Convert to fraction form
    17,232.84/25,815.78 = 10,099.78/x
  3. Step 3: Cross multiply
    17,232.84x = 25,815.78 × 10,099.78
  4. Step 4: Simplify right side
    17,232.84x = 260,733,569.45
  5. Step 5: Solve for x
    x = 260,733,569.45/17,232.84
  6. Step 6: Final answer
    x = 15,130.05

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Why These Related Problems?

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