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Finding the Fourth Proportional to 24,131.66, 36,193.44 and 6,598.40

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Solution

The fourth proportional to 24,131.66, 36,193.44 and 6,598.40 is: 9,896.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,131.66 : 36,193.44 = 6,598.40 : x
  2. Step 2: Convert to fraction form
    24,131.66/36,193.44 = 6,598.40/x
  3. Step 3: Cross multiply
    24,131.66x = 36,193.44 × 6,598.40
  4. Step 4: Simplify right side
    24,131.66x = 238,818,794.50
  5. Step 5: Solve for x
    x = 238,818,794.50/24,131.66
  6. Step 6: Final answer
    x = 9,896.49

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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.