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Finding the Fourth Proportional to 23,496.70, 32,425.38 and 12,887.02

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Solution

The fourth proportional to 23,496.70, 32,425.38 and 12,887.02 is: 17,784.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,496.70 : 32,425.38 = 12,887.02 : x
  2. Step 2: Convert to fraction form
    23,496.70/32,425.38 = 12,887.02/x
  3. Step 3: Cross multiply
    23,496.70x = 32,425.38 × 12,887.02
  4. Step 4: Simplify right side
    23,496.70x = 417,866,520.57
  5. Step 5: Solve for x
    x = 417,866,520.57/23,496.70
  6. Step 6: Final answer
    x = 17,784.05

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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.