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Finding the Fourth Proportional to 23,824.02, 35,740.08 and 8,238

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Solution

The fourth proportional to 23,824.02, 35,740.08 and 8,238 is: 12,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,824.02 : 35,740.08 = 8,238 : x
  2. Step 2: Convert to fraction form
    23,824.02/35,740.08 = 8,238/x
  3. Step 3: Cross multiply
    23,824.02x = 35,740.08 × 8,238
  4. Step 4: Simplify right side
    23,824.02x = 294,426,779.04
  5. Step 5: Solve for x
    x = 294,426,779.04/23,824.02
  6. Step 6: Final answer
    x = 12,358.40

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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.