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Finding the Fourth Proportional to 25,461.41, 38,187.16 and 12,807.80

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Solution

The fourth proportional to 25,461.41, 38,187.16 and 12,807.80 is: 19,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,461.41 : 38,187.16 = 12,807.80 : x
  2. Step 2: Convert to fraction form
    25,461.41/38,187.16 = 12,807.80/x
  3. Step 3: Cross multiply
    25,461.41x = 38,187.16 × 12,807.80
  4. Step 4: Simplify right side
    25,461.41x = 489,093,507.85
  5. Step 5: Solve for x
    x = 489,093,507.85/25,461.41
  6. Step 6: Final answer
    x = 19,209.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.