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Finding the Fourth Proportional to 23,195.52, 32,010.24 and 13,259.52

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Solution

The fourth proportional to 23,195.52, 32,010.24 and 13,259.52 is: 18,298.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,195.52 : 32,010.24 = 13,259.52 : x
  2. Step 2: Convert to fraction form
    23,195.52/32,010.24 = 13,259.52/x
  3. Step 3: Cross multiply
    23,195.52x = 32,010.24 × 13,259.52
  4. Step 4: Simplify right side
    23,195.52x = 424,440,417.48
  5. Step 5: Solve for x
    x = 424,440,417.48/23,195.52
  6. Step 6: Final answer
    x = 18,298.38

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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.