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Finding the Fourth Proportional to 16,477.26, 24,719.54 and 9,077.91

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Solution

The fourth proportional to 16,477.26, 24,719.54 and 9,077.91 is: 13,618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.26 : 24,719.54 = 9,077.91 : x
  2. Step 2: Convert to fraction form
    16,477.26/24,719.54 = 9,077.91/x
  3. Step 3: Cross multiply
    16,477.26x = 24,719.54 × 9,077.91
  4. Step 4: Simplify right side
    16,477.26x = 224,401,713.97
  5. Step 5: Solve for x
    x = 224,401,713.97/16,477.26
  6. Step 6: Final answer
    x = 13,618.87

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1.5x scale

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.