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Finding the Fourth Proportional to 16,462, 24,695.56 and 5,366.11

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Solution

The fourth proportional to 16,462, 24,695.56 and 5,366.11 is: 8,050.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462 : 24,695.56 = 5,366.11 : x
  2. Step 2: Convert to fraction form
    16,462/24,695.56 = 5,366.11/x
  3. Step 3: Cross multiply
    16,462x = 24,695.56 × 5,366.11
  4. Step 4: Simplify right side
    16,462x = 132,519,091.47
  5. Step 5: Solve for x
    x = 132,519,091.47/16,462
  6. Step 6: Final answer
    x = 8,050.00

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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.