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Finding the Fourth Proportional to 24,823.80, 34,257.60 and 14,212.80

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Solution

The fourth proportional to 24,823.80, 34,257.60 and 14,212.80 is: 19,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,823.80 : 34,257.60 = 14,212.80 : x
  2. Step 2: Convert to fraction form
    24,823.80/34,257.60 = 14,212.80/x
  3. Step 3: Cross multiply
    24,823.80x = 34,257.60 × 14,212.80
  4. Step 4: Simplify right side
    24,823.80x = 486,896,417.28
  5. Step 5: Solve for x
    x = 486,896,417.28/24,823.80
  6. Step 6: Final answer
    x = 19,614.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.