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Finding the Fourth Proportional to 24,783.04, 34,200.48 and 13,604.96

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Solution

The fourth proportional to 24,783.04, 34,200.48 and 13,604.96 is: 18,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.04 : 34,200.48 = 13,604.96 : x
  2. Step 2: Convert to fraction form
    24,783.04/34,200.48 = 13,604.96/x
  3. Step 3: Cross multiply
    24,783.04x = 34,200.48 × 13,604.96
  4. Step 4: Simplify right side
    24,783.04x = 465,296,162.38
  5. Step 5: Solve for x
    x = 465,296,162.38/24,783.04
  6. Step 6: Final answer
    x = 18,774.78

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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.