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Finding the Fourth Proportional to 24,521.64, 36,775.62 and 6,748.02

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Solution

The fourth proportional to 24,521.64, 36,775.62 and 6,748.02 is: 10,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,521.64 : 36,775.62 = 6,748.02 : x
  2. Step 2: Convert to fraction form
    24,521.64/36,775.62 = 6,748.02/x
  3. Step 3: Cross multiply
    24,521.64x = 36,775.62 × 6,748.02
  4. Step 4: Simplify right side
    24,521.64x = 248,162,619.27
  5. Step 5: Solve for x
    x = 248,162,619.27/24,521.64
  6. Step 6: Final answer
    x = 10,120.15

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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.