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Finding the Fourth Proportional to 23,471.92, 32,392 and 12,862.22

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Solution

The fourth proportional to 23,471.92, 32,392 and 12,862.22 is: 17,750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.92 : 32,392 = 12,862.22 : x
  2. Step 2: Convert to fraction form
    23,471.92/32,392 = 12,862.22/x
  3. Step 3: Cross multiply
    23,471.92x = 32,392 × 12,862.22
  4. Step 4: Simplify right side
    23,471.92x = 416,633,030.24
  5. Step 5: Solve for x
    x = 416,633,030.24/23,471.92
  6. Step 6: Final answer
    x = 17,750.27

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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.