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Finding the Fourth Proportional to 25,230, 34,817.40 and 14,052

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Solution

The fourth proportional to 25,230, 34,817.40 and 14,052 is: 19,391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,230 : 34,817.40 = 14,052 : x
  2. Step 2: Convert to fraction form
    25,230/34,817.40 = 14,052/x
  3. Step 3: Cross multiply
    25,230x = 34,817.40 × 14,052
  4. Step 4: Simplify right side
    25,230x = 489,254,104.80
  5. Step 5: Solve for x
    x = 489,254,104.80/25,230
  6. Step 6: Final answer
    x = 19,391.76

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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.