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Finding the Fourth Proportional to 16,013, 24,019.50 and 5,069

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Solution

The fourth proportional to 16,013, 24,019.50 and 5,069 is: 7,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013 : 24,019.50 = 5,069 : x
  2. Step 2: Convert to fraction form
    16,013/24,019.50 = 5,069/x
  3. Step 3: Cross multiply
    16,013x = 24,019.50 × 5,069
  4. Step 4: Simplify right side
    16,013x = 121,754,845.50
  5. Step 5: Solve for x
    x = 121,754,845.50/16,013
  6. Step 6: Final answer
    x = 7,603.50

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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.