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Finding the Fourth Proportional to 24,588.80, 36,858 and 9,777.68

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Solution

The fourth proportional to 24,588.80, 36,858 and 9,777.68 is: 14,656.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,588.80 : 36,858 = 9,777.68 : x
  2. Step 2: Convert to fraction form
    24,588.80/36,858 = 9,777.68/x
  3. Step 3: Cross multiply
    24,588.80x = 36,858 × 9,777.68
  4. Step 4: Simplify right side
    24,588.80x = 360,385,729.44
  5. Step 5: Solve for x
    x = 360,385,729.44/24,588.80
  6. Step 6: Final answer
    x = 14,656.50

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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.