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Finding the Fourth Proportional to 21,648.11, 32,446.04 and 10,538.15

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Solution

The fourth proportional to 21,648.11, 32,446.04 and 10,538.15 is: 15,794.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,648.11 : 32,446.04 = 10,538.15 : x
  2. Step 2: Convert to fraction form
    21,648.11/32,446.04 = 10,538.15/x
  3. Step 3: Cross multiply
    21,648.11x = 32,446.04 × 10,538.15
  4. Step 4: Simplify right side
    21,648.11x = 341,921,021.51
  5. Step 5: Solve for x
    x = 341,921,021.51/21,648.11
  6. Step 6: Final answer
    x = 15,794.50

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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.