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Finding the Fourth Proportional to 23,671.96, 32,661.48 and 14,471.20

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Solution

The fourth proportional to 23,671.96, 32,661.48 and 14,471.20 is: 19,966.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,671.96 : 32,661.48 = 14,471.20 : x
  2. Step 2: Convert to fraction form
    23,671.96/32,661.48 = 14,471.20/x
  3. Step 3: Cross multiply
    23,671.96x = 32,661.48 × 14,471.20
  4. Step 4: Simplify right side
    23,671.96x = 472,650,809.38
  5. Step 5: Solve for x
    x = 472,650,809.38/23,671.96
  6. Step 6: Final answer
    x = 19,966.70

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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.