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Finding the Fourth Proportional to 24,291.44, 36,442.28 and 7,656.20

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Solution

The fourth proportional to 24,291.44, 36,442.28 and 7,656.20 is: 11,485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,291.44 : 36,442.28 = 7,656.20 : x
  2. Step 2: Convert to fraction form
    24,291.44/36,442.28 = 7,656.20/x
  3. Step 3: Cross multiply
    24,291.44x = 36,442.28 × 7,656.20
  4. Step 4: Simplify right side
    24,291.44x = 279,009,384.14
  5. Step 5: Solve for x
    x = 279,009,384.14/24,291.44
  6. Step 6: Final answer
    x = 11,485.91

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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.