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Finding the Fourth Proportional to 23,465.83, 32,382.67 and 12,710.46

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Solution

The fourth proportional to 23,465.83, 32,382.67 and 12,710.46 is: 17,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,465.83 : 32,382.67 = 12,710.46 : x
  2. Step 2: Convert to fraction form
    23,465.83/32,382.67 = 12,710.46/x
  3. Step 3: Cross multiply
    23,465.83x = 32,382.67 × 12,710.46
  4. Step 4: Simplify right side
    23,465.83x = 411,598,469.81
  5. Step 5: Solve for x
    x = 411,598,469.81/23,465.83
  6. Step 6: Final answer
    x = 17,540.34

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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.