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Finding the Fourth Proportional to 24,430.98, 36,652.44 and 7,791.02

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Solution

The fourth proportional to 24,430.98, 36,652.44 and 7,791.02 is: 11,688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,430.98 : 36,652.44 = 7,791.02 : x
  2. Step 2: Convert to fraction form
    24,430.98/36,652.44 = 7,791.02/x
  3. Step 3: Cross multiply
    24,430.98x = 36,652.44 × 7,791.02
  4. Step 4: Simplify right side
    24,430.98x = 285,559,709.83
  5. Step 5: Solve for x
    x = 285,559,709.83/24,430.98
  6. Step 6: Final answer
    x = 11,688.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.