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Finding the Fourth Proportional to 24,307.40, 36,461.91 and 6,775.76

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Solution

The fourth proportional to 24,307.40, 36,461.91 and 6,775.76 is: 10,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,307.40 : 36,461.91 = 6,775.76 : x
  2. Step 2: Convert to fraction form
    24,307.40/36,461.91 = 6,775.76/x
  3. Step 3: Cross multiply
    24,307.40x = 36,461.91 × 6,775.76
  4. Step 4: Simplify right side
    24,307.40x = 247,057,151.30
  5. Step 5: Solve for x
    x = 247,057,151.30/24,307.40
  6. Step 6: Final answer
    x = 10,163.87

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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.