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Finding the Fourth Proportional to 24,794.96, 34,202.76 and 14,853.20

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Solution

The fourth proportional to 24,794.96, 34,202.76 and 14,853.20 is: 20,488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,794.96 : 34,202.76 = 14,853.20 : x
  2. Step 2: Convert to fraction form
    24,794.96/34,202.76 = 14,853.20/x
  3. Step 3: Cross multiply
    24,794.96x = 34,202.76 × 14,853.20
  4. Step 4: Simplify right side
    24,794.96x = 508,020,434.83
  5. Step 5: Solve for x
    x = 508,020,434.83/24,794.96
  6. Step 6: Final answer
    x = 20,488.86

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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.