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Finding the Fourth Proportional to 24,525.04, 36,753 and 10,666.48

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Solution

The fourth proportional to 24,525.04, 36,753 and 10,666.48 is: 15,984.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,525.04 : 36,753 = 10,666.48 : x
  2. Step 2: Convert to fraction form
    24,525.04/36,753 = 10,666.48/x
  3. Step 3: Cross multiply
    24,525.04x = 36,753 × 10,666.48
  4. Step 4: Simplify right side
    24,525.04x = 392,025,139.44
  5. Step 5: Solve for x
    x = 392,025,139.44/24,525.04
  6. Step 6: Final answer
    x = 15,984.69

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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.