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Finding the Fourth Proportional to 16,311.08, 24,459.32 and 7,548.50

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Solution

The fourth proportional to 16,311.08, 24,459.32 and 7,548.50 is: 11,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311.08 : 24,459.32 = 7,548.50 : x
  2. Step 2: Convert to fraction form
    16,311.08/24,459.32 = 7,548.50/x
  3. Step 3: Cross multiply
    16,311.08x = 24,459.32 × 7,548.50
  4. Step 4: Simplify right side
    16,311.08x = 184,631,177.02
  5. Step 5: Solve for x
    x = 184,631,177.02/16,311.08
  6. Step 6: Final answer
    x = 11,319.37

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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.