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Finding the Fourth Proportional to 24,505.47, 36,759.42 and 6,977.88

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Solution

The fourth proportional to 24,505.47, 36,759.42 and 6,977.88 is: 10,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,505.47 : 36,759.42 = 6,977.88 : x
  2. Step 2: Convert to fraction form
    24,505.47/36,759.42 = 6,977.88/x
  3. Step 3: Cross multiply
    24,505.47x = 36,759.42 × 6,977.88
  4. Step 4: Simplify right side
    24,505.47x = 256,502,821.63
  5. Step 5: Solve for x
    x = 256,502,821.63/24,505.47
  6. Step 6: Final answer
    x = 10,467.17

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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.