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Finding the Fourth Proportional to 16,464.90, 24,697.35 and 7,709.61

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Solution

The fourth proportional to 16,464.90, 24,697.35 and 7,709.61 is: 11,564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,464.90 : 24,697.35 = 7,709.61 : x
  2. Step 2: Convert to fraction form
    16,464.90/24,697.35 = 7,709.61/x
  3. Step 3: Cross multiply
    16,464.90x = 24,697.35 × 7,709.61
  4. Step 4: Simplify right side
    16,464.90x = 190,406,936.53
  5. Step 5: Solve for x
    x = 190,406,936.53/16,464.90
  6. Step 6: Final answer
    x = 11,564.42

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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.