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Finding the Fourth Proportional to 24,506.60, 36,731.10 and 10,466.60

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Solution

The fourth proportional to 24,506.60, 36,731.10 and 10,466.60 is: 15,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.60 : 36,731.10 = 10,466.60 : x
  2. Step 2: Convert to fraction form
    24,506.60/36,731.10 = 10,466.60/x
  3. Step 3: Cross multiply
    24,506.60x = 36,731.10 × 10,466.60
  4. Step 4: Simplify right side
    24,506.60x = 384,449,731.26
  5. Step 5: Solve for x
    x = 384,449,731.26/24,506.60
  6. Step 6: Final answer
    x = 15,687.60

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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.