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Finding the Fourth Proportional to 24,600.20, 36,900.30 and 9,811.40

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Solution

The fourth proportional to 24,600.20, 36,900.30 and 9,811.40 is: 14,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,600.20 : 36,900.30 = 9,811.40 : x
  2. Step 2: Convert to fraction form
    24,600.20/36,900.30 = 9,811.40/x
  3. Step 3: Cross multiply
    24,600.20x = 36,900.30 × 9,811.40
  4. Step 4: Simplify right side
    24,600.20x = 362,043,603.42
  5. Step 5: Solve for x
    x = 362,043,603.42/24,600.20
  6. Step 6: Final answer
    x = 14,717.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.