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Finding the Fourth Proportional to 23,538.54, 35,290.70 and 11,052.14

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Solution

The fourth proportional to 23,538.54, 35,290.70 and 11,052.14 is: 16,570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538.54 : 35,290.70 = 11,052.14 : x
  2. Step 2: Convert to fraction form
    23,538.54/35,290.70 = 11,052.14/x
  3. Step 3: Cross multiply
    23,538.54x = 35,290.70 × 11,052.14
  4. Step 4: Simplify right side
    23,538.54x = 390,037,757.10
  5. Step 5: Solve for x
    x = 390,037,757.10/23,538.54
  6. Step 6: Final answer
    x = 16,570.18

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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.