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Finding the Fourth Proportional to 24,556, 36,801.48 and 9,756.76

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Solution

The fourth proportional to 24,556, 36,801.48 and 9,756.76 is: 14,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,556 : 36,801.48 = 9,756.76 : x
  2. Step 2: Convert to fraction form
    24,556/36,801.48 = 9,756.76/x
  3. Step 3: Cross multiply
    24,556x = 36,801.48 × 9,756.76
  4. Step 4: Simplify right side
    24,556x = 359,063,208.00
  5. Step 5: Solve for x
    x = 359,063,208.00/24,556
  6. Step 6: Final answer
    x = 14,622.22

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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.