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Finding the Fourth Proportional to 16,032.85, 24,054.14 and 7,710.50

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Solution

The fourth proportional to 16,032.85, 24,054.14 and 7,710.50 is: 11,568.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032.85 : 24,054.14 = 7,710.50 : x
  2. Step 2: Convert to fraction form
    16,032.85/24,054.14 = 7,710.50/x
  3. Step 3: Cross multiply
    16,032.85x = 24,054.14 × 7,710.50
  4. Step 4: Simplify right side
    16,032.85x = 185,469,468.05
  5. Step 5: Solve for x
    x = 185,469,468.05/16,032.85
  6. Step 6: Final answer
    x = 11,568.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.