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Finding the Fourth Proportional to 16,011.12, 24,016.50 and 7,239.90

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Solution

The fourth proportional to 16,011.12, 24,016.50 and 7,239.90 is: 10,859.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,011.12 : 24,016.50 = 7,239.90 : x
  2. Step 2: Convert to fraction form
    16,011.12/24,016.50 = 7,239.90/x
  3. Step 3: Cross multiply
    16,011.12x = 24,016.50 × 7,239.90
  4. Step 4: Simplify right side
    16,011.12x = 173,877,058.35
  5. Step 5: Solve for x
    x = 173,877,058.35/16,011.12
  6. Step 6: Final answer
    x = 10,859.77

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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.