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Finding the Fourth Proportional to 24,418.19, 36,632.81 and 7,779.17

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Solution

The fourth proportional to 24,418.19, 36,632.81 and 7,779.17 is: 11,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,418.19 : 36,632.81 = 7,779.17 : x
  2. Step 2: Convert to fraction form
    24,418.19/36,632.81 = 7,779.17/x
  3. Step 3: Cross multiply
    24,418.19x = 36,632.81 × 7,779.17
  4. Step 4: Simplify right side
    24,418.19x = 284,972,967.60
  5. Step 5: Solve for x
    x = 284,972,967.60/24,418.19
  6. Step 6: Final answer
    x = 11,670.52

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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.