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Finding the Fourth Proportional to 23,867.12, 35,802.84 and 9,823.88

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Solution

The fourth proportional to 23,867.12, 35,802.84 and 9,823.88 is: 14,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,867.12 : 35,802.84 = 9,823.88 : x
  2. Step 2: Convert to fraction form
    23,867.12/35,802.84 = 9,823.88/x
  3. Step 3: Cross multiply
    23,867.12x = 35,802.84 × 9,823.88
  4. Step 4: Simplify right side
    23,867.12x = 351,722,803.82
  5. Step 5: Solve for x
    x = 351,722,803.82/23,867.12
  6. Step 6: Final answer
    x = 14,736.71

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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.