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Finding the Fourth Proportional to 23,416.34, 35,081.97 and 13,534.74

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Solution

The fourth proportional to 23,416.34, 35,081.97 and 13,534.74 is: 20,277.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,416.34 : 35,081.97 = 13,534.74 : x
  2. Step 2: Convert to fraction form
    23,416.34/35,081.97 = 13,534.74/x
  3. Step 3: Cross multiply
    23,416.34x = 35,081.97 × 13,534.74
  4. Step 4: Simplify right side
    23,416.34x = 474,825,342.64
  5. Step 5: Solve for x
    x = 474,825,342.64/23,416.34
  6. Step 6: Final answer
    x = 20,277.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.