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Finding the Fourth Proportional to 23,048.64, 34,553.52 and 9,190.08

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Solution

The fourth proportional to 23,048.64, 34,553.52 and 9,190.08 is: 13,777.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048.64 : 34,553.52 = 9,190.08 : x
  2. Step 2: Convert to fraction form
    23,048.64/34,553.52 = 9,190.08/x
  3. Step 3: Cross multiply
    23,048.64x = 34,553.52 × 9,190.08
  4. Step 4: Simplify right side
    23,048.64x = 317,549,613.08
  5. Step 5: Solve for x
    x = 317,549,613.08/23,048.64
  6. Step 6: Final answer
    x = 13,777.37

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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.