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Finding the Fourth Proportional to 23,152, 34,729.72 and 9,301.04

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Solution

The fourth proportional to 23,152, 34,729.72 and 9,301.04 is: 13,952.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152 : 34,729.72 = 9,301.04 : x
  2. Step 2: Convert to fraction form
    23,152/34,729.72 = 9,301.04/x
  3. Step 3: Cross multiply
    23,152x = 34,729.72 × 9,301.04
  4. Step 4: Simplify right side
    23,152x = 323,022,514.91
  5. Step 5: Solve for x
    x = 323,022,514.91/23,152
  6. Step 6: Final answer
    x = 13,952.25

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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.