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Finding the Fourth Proportional to 23,932.19, 35,914.69 and 8,349.82

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Solution

The fourth proportional to 23,932.19, 35,914.69 and 8,349.82 is: 12,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,932.19 : 35,914.69 = 8,349.82 : x
  2. Step 2: Convert to fraction form
    23,932.19/35,914.69 = 8,349.82/x
  3. Step 3: Cross multiply
    23,932.19x = 35,914.69 × 8,349.82
  4. Step 4: Simplify right side
    23,932.19x = 299,881,117.51
  5. Step 5: Solve for x
    x = 299,881,117.51/23,932.19
  6. Step 6: Final answer
    x = 12,530.45

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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.