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Finding the Fourth Proportional to 23,047.16, 34,570.53 and 7,464.78

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Solution

The fourth proportional to 23,047.16, 34,570.53 and 7,464.78 is: 11,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,047.16 : 34,570.53 = 7,464.78 : x
  2. Step 2: Convert to fraction form
    23,047.16/34,570.53 = 7,464.78/x
  3. Step 3: Cross multiply
    23,047.16x = 34,570.53 × 7,464.78
  4. Step 4: Simplify right side
    23,047.16x = 258,061,400.93
  5. Step 5: Solve for x
    x = 258,061,400.93/23,047.16
  6. Step 6: Final answer
    x = 11,197.10

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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.