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Finding the Fourth Proportional to 23,804.66, 35,723.12 and 9,767.22

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Solution

The fourth proportional to 23,804.66, 35,723.12 and 9,767.22 is: 14,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.66 : 35,723.12 = 9,767.22 : x
  2. Step 2: Convert to fraction form
    23,804.66/35,723.12 = 9,767.22/x
  3. Step 3: Cross multiply
    23,804.66x = 35,723.12 × 9,767.22
  4. Step 4: Simplify right side
    23,804.66x = 348,915,523.29
  5. Step 5: Solve for x
    x = 348,915,523.29/23,804.66
  6. Step 6: Final answer
    x = 14,657.45

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Why These Related Problems?

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