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Finding the Fourth Proportional to 23,978.04, 35,974.08 and 12,299.40

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Solution

The fourth proportional to 23,978.04, 35,974.08 and 12,299.40 is: 18,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.04 : 35,974.08 = 12,299.40 : x
  2. Step 2: Convert to fraction form
    23,978.04/35,974.08 = 12,299.40/x
  3. Step 3: Cross multiply
    23,978.04x = 35,974.08 × 12,299.40
  4. Step 4: Simplify right side
    23,978.04x = 442,459,599.55
  5. Step 5: Solve for x
    x = 442,459,599.55/23,978.04
  6. Step 6: Final answer
    x = 18,452.70

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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.