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Finding the Fourth Proportional to 23,884.40, 32,964.66 and 13,811.24

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Solution

The fourth proportional to 23,884.40, 32,964.66 and 13,811.24 is: 19,061.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.40 : 32,964.66 = 13,811.24 : x
  2. Step 2: Convert to fraction form
    23,884.40/32,964.66 = 13,811.24/x
  3. Step 3: Cross multiply
    23,884.40x = 32,964.66 × 13,811.24
  4. Step 4: Simplify right side
    23,884.40x = 455,282,830.78
  5. Step 5: Solve for x
    x = 455,282,830.78/23,884.40
  6. Step 6: Final answer
    x = 19,061.93

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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.