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Finding the Fourth Proportional to 21,339.48, 32,013 and 7,301.07

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Solution

The fourth proportional to 21,339.48, 32,013 and 7,301.07 is: 10,952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,339.48 : 32,013 = 7,301.07 : x
  2. Step 2: Convert to fraction form
    21,339.48/32,013 = 7,301.07/x
  3. Step 3: Cross multiply
    21,339.48x = 32,013 × 7,301.07
  4. Step 4: Simplify right side
    21,339.48x = 233,729,153.91
  5. Step 5: Solve for x
    x = 233,729,153.91/21,339.48
  6. Step 6: Final answer
    x = 10,952.90

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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.