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Finding the Fourth Proportional to 24,556.48, 36,851.74 and 9,764

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Solution

The fourth proportional to 24,556.48, 36,851.74 and 9,764 is: 14,652.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,556.48 : 36,851.74 = 9,764 : x
  2. Step 2: Convert to fraction form
    24,556.48/36,851.74 = 9,764/x
  3. Step 3: Cross multiply
    24,556.48x = 36,851.74 × 9,764
  4. Step 4: Simplify right side
    24,556.48x = 359,820,389.36
  5. Step 5: Solve for x
    x = 359,820,389.36/24,556.48
  6. Step 6: Final answer
    x = 14,652.77

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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.