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Finding the Fourth Proportional to 16,509.77, 24,742.26 and 7,605.51

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Solution

The fourth proportional to 16,509.77, 24,742.26 and 7,605.51 is: 11,397.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.77 : 24,742.26 = 7,605.51 : x
  2. Step 2: Convert to fraction form
    16,509.77/24,742.26 = 7,605.51/x
  3. Step 3: Cross multiply
    16,509.77x = 24,742.26 × 7,605.51
  4. Step 4: Simplify right side
    16,509.77x = 188,177,505.85
  5. Step 5: Solve for x
    x = 188,177,505.85/16,509.77
  6. Step 6: Final answer
    x = 11,397.95

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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.