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Finding the Fourth Proportional to 23,702, 32,708.76 and 14,270.96

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Solution

The fourth proportional to 23,702, 32,708.76 and 14,270.96 is: 19,693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,702 : 32,708.76 = 14,270.96 : x
  2. Step 2: Convert to fraction form
    23,702/32,708.76 = 14,270.96/x
  3. Step 3: Cross multiply
    23,702x = 32,708.76 × 14,270.96
  4. Step 4: Simplify right side
    23,702x = 466,785,405.61
  5. Step 5: Solve for x
    x = 466,785,405.61/23,702
  6. Step 6: Final answer
    x = 19,693.92

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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.