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Finding the Fourth Proportional to 23,872.96, 32,946.06 and 13,801.96

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Solution

The fourth proportional to 23,872.96, 32,946.06 and 13,801.96 is: 19,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,872.96 : 32,946.06 = 13,801.96 : x
  2. Step 2: Convert to fraction form
    23,872.96/32,946.06 = 13,801.96/x
  3. Step 3: Cross multiply
    23,872.96x = 32,946.06 × 13,801.96
  4. Step 4: Simplify right side
    23,872.96x = 454,720,202.28
  5. Step 5: Solve for x
    x = 454,720,202.28/23,872.96
  6. Step 6: Final answer
    x = 19,047.50

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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.