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Finding the Fourth Proportional to 24,506.74, 36,731.22 and 11,848.60

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Solution

The fourth proportional to 24,506.74, 36,731.22 and 11,848.60 is: 17,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,506.74 : 36,731.22 = 11,848.60 : x
  2. Step 2: Convert to fraction form
    24,506.74/36,731.22 = 11,848.60/x
  3. Step 3: Cross multiply
    24,506.74x = 36,731.22 × 11,848.60
  4. Step 4: Simplify right side
    24,506.74x = 435,213,533.29
  5. Step 5: Solve for x
    x = 435,213,533.29/24,506.74
  6. Step 6: Final answer
    x = 17,758.93

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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.