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Finding the Fourth Proportional to 23,706.51, 32,713.78 and 13,094.09

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Solution

The fourth proportional to 23,706.51, 32,713.78 and 13,094.09 is: 18,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.51 : 32,713.78 = 13,094.09 : x
  2. Step 2: Convert to fraction form
    23,706.51/32,713.78 = 13,094.09/x
  3. Step 3: Cross multiply
    23,706.51x = 32,713.78 × 13,094.09
  4. Step 4: Simplify right side
    23,706.51x = 428,357,114.09
  5. Step 5: Solve for x
    x = 428,357,114.09/23,706.51
  6. Step 6: Final answer
    x = 18,069.18

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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.