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Finding the Fourth Proportional to 23,679.40, 32,674.81 and 14,119.82

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Solution

The fourth proportional to 23,679.40, 32,674.81 and 14,119.82 is: 19,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,679.40 : 32,674.81 = 14,119.82 : x
  2. Step 2: Convert to fraction form
    23,679.40/32,674.81 = 14,119.82/x
  3. Step 3: Cross multiply
    23,679.40x = 32,674.81 × 14,119.82
  4. Step 4: Simplify right side
    23,679.40x = 461,362,326.50
  5. Step 5: Solve for x
    x = 461,362,326.50/23,679.40
  6. Step 6: Final answer
    x = 19,483.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.