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Finding the Fourth Proportional to 24,542.16, 36,796.68 and 7,897.20

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Solution

The fourth proportional to 24,542.16, 36,796.68 and 7,897.20 is: 11,840.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,542.16 : 36,796.68 = 7,897.20 : x
  2. Step 2: Convert to fraction form
    24,542.16/36,796.68 = 7,897.20/x
  3. Step 3: Cross multiply
    24,542.16x = 36,796.68 × 7,897.20
  4. Step 4: Simplify right side
    24,542.16x = 290,590,741.30
  5. Step 5: Solve for x
    x = 290,590,741.30/24,542.16
  6. Step 6: Final answer
    x = 11,840.47

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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.