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Finding the Fourth Proportional to 16,009, 24,017.34 and 5,065

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Solution

The fourth proportional to 16,009, 24,017.34 and 5,065 is: 7,598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,009 : 24,017.34 = 5,065 : x
  2. Step 2: Convert to fraction form
    16,009/24,017.34 = 5,065/x
  3. Step 3: Cross multiply
    16,009x = 24,017.34 × 5,065
  4. Step 4: Simplify right side
    16,009x = 121,647,827.10
  5. Step 5: Solve for x
    x = 121,647,827.10/16,009
  6. Step 6: Final answer
    x = 7,598.71

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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.