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Finding the Fourth Proportional to 23,480.97, 32,403.99 and 12,870.38

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Solution

The fourth proportional to 23,480.97, 32,403.99 and 12,870.38 is: 17,761.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,480.97 : 32,403.99 = 12,870.38 : x
  2. Step 2: Convert to fraction form
    23,480.97/32,403.99 = 12,870.38/x
  3. Step 3: Cross multiply
    23,480.97x = 32,403.99 × 12,870.38
  4. Step 4: Simplify right side
    23,480.97x = 417,051,502.80
  5. Step 5: Solve for x
    x = 417,051,502.80/23,480.97
  6. Step 6: Final answer
    x = 17,761.26

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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.