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Finding the Fourth Proportional to 24,270, 36,400.92 and 6,741.60

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Solution

The fourth proportional to 24,270, 36,400.92 and 6,741.60 is: 10,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,270 : 36,400.92 = 6,741.60 : x
  2. Step 2: Convert to fraction form
    24,270/36,400.92 = 6,741.60/x
  3. Step 3: Cross multiply
    24,270x = 36,400.92 × 6,741.60
  4. Step 4: Simplify right side
    24,270x = 245,400,442.27
  5. Step 5: Solve for x
    x = 245,400,442.27/24,270
  6. Step 6: Final answer
    x = 10,111.27

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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.