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Finding the Fourth Proportional to 23,508.12, 35,256.72 and 6,864.64

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Solution

The fourth proportional to 23,508.12, 35,256.72 and 6,864.64 is: 10,295.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,508.12 : 35,256.72 = 6,864.64 : x
  2. Step 2: Convert to fraction form
    23,508.12/35,256.72 = 6,864.64/x
  3. Step 3: Cross multiply
    23,508.12x = 35,256.72 × 6,864.64
  4. Step 4: Simplify right side
    23,508.12x = 242,024,690.38
  5. Step 5: Solve for x
    x = 242,024,690.38/23,508.12
  6. Step 6: Final answer
    x = 10,295.37

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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.