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Finding the Fourth Proportional to 23,043.84, 31,811.04 and 14,671.68

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Solution

The fourth proportional to 23,043.84, 31,811.04 and 14,671.68 is: 20,253.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,043.84 : 31,811.04 = 14,671.68 : x
  2. Step 2: Convert to fraction form
    23,043.84/31,811.04 = 14,671.68/x
  3. Step 3: Cross multiply
    23,043.84x = 31,811.04 × 14,671.68
  4. Step 4: Simplify right side
    23,043.84x = 466,721,399.35
  5. Step 5: Solve for x
    x = 466,721,399.35/23,043.84
  6. Step 6: Final answer
    x = 20,253.63

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1.5x scale

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.