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Finding the Fourth Proportional to 16,497.84, 24,740.12 and 6,110.40

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Solution

The fourth proportional to 16,497.84, 24,740.12 and 6,110.40 is: 9,163.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.84 : 24,740.12 = 6,110.40 : x
  2. Step 2: Convert to fraction form
    16,497.84/24,740.12 = 6,110.40/x
  3. Step 3: Cross multiply
    16,497.84x = 24,740.12 × 6,110.40
  4. Step 4: Simplify right side
    16,497.84x = 151,172,029.25
  5. Step 5: Solve for x
    x = 151,172,029.25/16,497.84
  6. Step 6: Final answer
    x = 9,163.14

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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.