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Finding the Fourth Proportional to 24,000.35, 35,996.20 and 6,466.08

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Solution

The fourth proportional to 24,000.35, 35,996.20 and 6,466.08 is: 9,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000.35 : 35,996.20 = 6,466.08 : x
  2. Step 2: Convert to fraction form
    24,000.35/35,996.20 = 6,466.08/x
  3. Step 3: Cross multiply
    24,000.35x = 35,996.20 × 6,466.08
  4. Step 4: Simplify right side
    24,000.35x = 232,754,225.24
  5. Step 5: Solve for x
    x = 232,754,225.24/24,000.35
  6. Step 6: Final answer
    x = 9,697.95

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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.