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Finding the Fourth Proportional to 23,786, 32,817.32 and 13,713.16

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Solution

The fourth proportional to 23,786, 32,817.32 and 13,713.16 is: 18,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,786 : 32,817.32 = 13,713.16 : x
  2. Step 2: Convert to fraction form
    23,786/32,817.32 = 13,713.16/x
  3. Step 3: Cross multiply
    23,786x = 32,817.32 × 13,713.16
  4. Step 4: Simplify right side
    23,786x = 450,029,159.93
  5. Step 5: Solve for x
    x = 450,029,159.93/23,786
  6. Step 6: Final answer
    x = 18,919.92

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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.