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Finding the Fourth Proportional to 23,416.08, 35,133 and 12,164.40

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Solution

The fourth proportional to 23,416.08, 35,133 and 12,164.40 is: 18,251.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416.08 : 35,133 = 12,164.40 : x
  2. Step 2: Convert to fraction form
    23,416.08/35,133 = 12,164.40/x
  3. Step 3: Cross multiply
    23,416.08x = 35,133 × 12,164.40
  4. Step 4: Simplify right side
    23,416.08x = 427,371,865.20
  5. Step 5: Solve for x
    x = 427,371,865.20/23,416.08
  6. Step 6: Final answer
    x = 18,251.21

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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.