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Finding the Fourth Proportional to 16,595.74, 24,881.64 and 7,822

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Solution

The fourth proportional to 16,595.74, 24,881.64 and 7,822 is: 11,727.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,595.74 : 24,881.64 = 7,822 : x
  2. Step 2: Convert to fraction form
    16,595.74/24,881.64 = 7,822/x
  3. Step 3: Cross multiply
    16,595.74x = 24,881.64 × 7,822
  4. Step 4: Simplify right side
    16,595.74x = 194,624,188.08
  5. Step 5: Solve for x
    x = 194,624,188.08/16,595.74
  6. Step 6: Final answer
    x = 11,727.36

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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.