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Finding the Fourth Proportional to 16,581.66, 24,881.13 and 7,345.50

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Solution

The fourth proportional to 16,581.66, 24,881.13 and 7,345.50 is: 11,022.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,581.66 : 24,881.13 = 7,345.50 : x
  2. Step 2: Convert to fraction form
    16,581.66/24,881.13 = 7,345.50/x
  3. Step 3: Cross multiply
    16,581.66x = 24,881.13 × 7,345.50
  4. Step 4: Simplify right side
    16,581.66x = 182,764,340.42
  5. Step 5: Solve for x
    x = 182,764,340.42/16,581.66
  6. Step 6: Final answer
    x = 11,022.08

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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.