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Finding the Fourth Proportional to 23,478.44, 32,401.05 and 12,868.07

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Solution

The fourth proportional to 23,478.44, 32,401.05 and 12,868.07 is: 17,758.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478.44 : 32,401.05 = 12,868.07 : x
  2. Step 2: Convert to fraction form
    23,478.44/32,401.05 = 12,868.07/x
  3. Step 3: Cross multiply
    23,478.44x = 32,401.05 × 12,868.07
  4. Step 4: Simplify right side
    23,478.44x = 416,938,817.47
  5. Step 5: Solve for x
    x = 416,938,817.47/23,478.44
  6. Step 6: Final answer
    x = 17,758.37

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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.