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Finding the Fourth Proportional to 16,175.68, 24,252 and 13,059.52

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Solution

The fourth proportional to 16,175.68, 24,252 and 13,059.52 is: 19,579.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,175.68 : 24,252 = 13,059.52 : x
  2. Step 2: Convert to fraction form
    16,175.68/24,252 = 13,059.52/x
  3. Step 3: Cross multiply
    16,175.68x = 24,252 × 13,059.52
  4. Step 4: Simplify right side
    16,175.68x = 316,719,479.04
  5. Step 5: Solve for x
    x = 316,719,479.04/16,175.68
  6. Step 6: Final answer
    x = 19,579.98

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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.