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Finding the Fourth Proportional to 23,530.68, 32,472.48 and 12,921.24

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Solution

The fourth proportional to 23,530.68, 32,472.48 and 12,921.24 is: 17,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,530.68 : 32,472.48 = 12,921.24 : x
  2. Step 2: Convert to fraction form
    23,530.68/32,472.48 = 12,921.24/x
  3. Step 3: Cross multiply
    23,530.68x = 32,472.48 × 12,921.24
  4. Step 4: Simplify right side
    23,530.68x = 419,584,707.48
  5. Step 5: Solve for x
    x = 419,584,707.48/23,530.68
  6. Step 6: Final answer
    x = 17,831.39

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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.