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Finding the Fourth Proportional to 23,191.68, 31,991.85 and 14,678.22

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Solution

The fourth proportional to 23,191.68, 31,991.85 and 14,678.22 is: 20,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,191.68 : 31,991.85 = 14,678.22 : x
  2. Step 2: Convert to fraction form
    23,191.68/31,991.85 = 14,678.22/x
  3. Step 3: Cross multiply
    23,191.68x = 31,991.85 × 14,678.22
  4. Step 4: Simplify right side
    23,191.68x = 469,583,412.51
  5. Step 5: Solve for x
    x = 469,583,412.51/23,191.68
  6. Step 6: Final answer
    x = 20,247.93

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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.