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Finding the Fourth Proportional to 16,008.49, 24,015.15 and 7,686.94

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Solution

The fourth proportional to 16,008.49, 24,015.15 and 7,686.94 is: 11,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008.49 : 24,015.15 = 7,686.94 : x
  2. Step 2: Convert to fraction form
    16,008.49/24,015.15 = 7,686.94/x
  3. Step 3: Cross multiply
    16,008.49x = 24,015.15 × 7,686.94
  4. Step 4: Simplify right side
    16,008.49x = 184,603,017.14
  5. Step 5: Solve for x
    x = 184,603,017.14/16,008.49
  6. Step 6: Final answer
    x = 11,531.57

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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.