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Finding the Fourth Proportional to 25,240, 34,832.40 and 14,062

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Solution

The fourth proportional to 25,240, 34,832.40 and 14,062 is: 19,406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,240 : 34,832.40 = 14,062 : x
  2. Step 2: Convert to fraction form
    25,240/34,832.40 = 14,062/x
  3. Step 3: Cross multiply
    25,240x = 34,832.40 × 14,062
  4. Step 4: Simplify right side
    25,240x = 489,813,208.80
  5. Step 5: Solve for x
    x = 489,813,208.80/25,240
  6. Step 6: Final answer
    x = 19,406.23

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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.