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Finding the Fourth Proportional to 23,707.84, 32,713.94 and 13,097.55

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Solution

The fourth proportional to 23,707.84, 32,713.94 and 13,097.55 is: 18,073.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707.84 : 32,713.94 = 13,097.55 : x
  2. Step 2: Convert to fraction form
    23,707.84/32,713.94 = 13,097.55/x
  3. Step 3: Cross multiply
    23,707.84x = 32,713.94 × 13,097.55
  4. Step 4: Simplify right side
    23,707.84x = 428,472,464.85
  5. Step 5: Solve for x
    x = 428,472,464.85/23,707.84
  6. Step 6: Final answer
    x = 18,073.03

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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.