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Finding the Fourth Proportional to 16,215.46, 24,288.03 and 7,877.98

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Solution

The fourth proportional to 16,215.46, 24,288.03 and 7,877.98 is: 11,799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215.46 : 24,288.03 = 7,877.98 : x
  2. Step 2: Convert to fraction form
    16,215.46/24,288.03 = 7,877.98/x
  3. Step 3: Cross multiply
    16,215.46x = 24,288.03 × 7,877.98
  4. Step 4: Simplify right side
    16,215.46x = 191,340,674.48
  5. Step 5: Solve for x
    x = 191,340,674.48/16,215.46
  6. Step 6: Final answer
    x = 11,799.89

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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.