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Finding the Fourth Proportional to 24,558.48, 36,840.11 and 9,764.10

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Solution

The fourth proportional to 24,558.48, 36,840.11 and 9,764.10 is: 14,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,558.48 : 36,840.11 = 9,764.10 : x
  2. Step 2: Convert to fraction form
    24,558.48/36,840.11 = 9,764.10/x
  3. Step 3: Cross multiply
    24,558.48x = 36,840.11 × 9,764.10
  4. Step 4: Simplify right side
    24,558.48x = 359,710,469.23
  5. Step 5: Solve for x
    x = 359,710,469.23/24,558.48
  6. Step 6: Final answer
    x = 14,647.10

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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.