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Finding the Fourth Proportional to 17,952, 24,775.68 and 10,506.24

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Solution

The fourth proportional to 17,952, 24,775.68 and 10,506.24 is: 14,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,952 : 24,775.68 = 10,506.24 : x
  2. Step 2: Convert to fraction form
    17,952/24,775.68 = 10,506.24/x
  3. Step 3: Cross multiply
    17,952x = 24,775.68 × 10,506.24
  4. Step 4: Simplify right side
    17,952x = 260,299,240.24
  5. Step 5: Solve for x
    x = 260,299,240.24/17,952
  6. Step 6: Final answer
    x = 14,499.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.