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Finding the Fourth Proportional to 24,605.01, 36,889.64 and 9,809.49

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Solution

The fourth proportional to 24,605.01, 36,889.64 and 9,809.49 is: 14,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,605.01 : 36,889.64 = 9,809.49 : x
  2. Step 2: Convert to fraction form
    24,605.01/36,889.64 = 9,809.49/x
  3. Step 3: Cross multiply
    24,605.01x = 36,889.64 × 9,809.49
  4. Step 4: Simplify right side
    24,605.01x = 361,868,505.64
  5. Step 5: Solve for x
    x = 361,868,505.64/24,605.01
  6. Step 6: Final answer
    x = 14,707.11

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Why These Related Problems?

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