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Finding the Fourth Proportional to 23,814.08, 35,681.76 and 8,223.04

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Solution

The fourth proportional to 23,814.08, 35,681.76 and 8,223.04 is: 12,320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814.08 : 35,681.76 = 8,223.04 : x
  2. Step 2: Convert to fraction form
    23,814.08/35,681.76 = 8,223.04/x
  3. Step 3: Cross multiply
    23,814.08x = 35,681.76 × 8,223.04
  4. Step 4: Simplify right side
    23,814.08x = 293,412,539.75
  5. Step 5: Solve for x
    x = 293,412,539.75/23,814.08
  6. Step 6: Final answer
    x = 12,320.97

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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.