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Finding the Fourth Proportional to 23,235.50, 32,065.14 and 12,625.14

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Solution

The fourth proportional to 23,235.50, 32,065.14 and 12,625.14 is: 17,422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,235.50 : 32,065.14 = 12,625.14 : x
  2. Step 2: Convert to fraction form
    23,235.50/32,065.14 = 12,625.14/x
  3. Step 3: Cross multiply
    23,235.50x = 32,065.14 × 12,625.14
  4. Step 4: Simplify right side
    23,235.50x = 404,826,881.62
  5. Step 5: Solve for x
    x = 404,826,881.62/23,235.50
  6. Step 6: Final answer
    x = 17,422.77

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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.