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Finding the Fourth Proportional to 24,407.60, 36,611.40 and 12,719.30

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Solution

The fourth proportional to 24,407.60, 36,611.40 and 12,719.30 is: 19,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407.60 : 36,611.40 = 12,719.30 : x
  2. Step 2: Convert to fraction form
    24,407.60/36,611.40 = 12,719.30/x
  3. Step 3: Cross multiply
    24,407.60x = 36,611.40 × 12,719.30
  4. Step 4: Simplify right side
    24,407.60x = 465,671,380.02
  5. Step 5: Solve for x
    x = 465,671,380.02/24,407.60
  6. Step 6: Final answer
    x = 19,078.95

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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.