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Finding the Fourth Proportional to 16,493.76, 24,717.60 and 9,101.76

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Solution

The fourth proportional to 16,493.76, 24,717.60 and 9,101.76 is: 13,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.76 : 24,717.60 = 9,101.76 : x
  2. Step 2: Convert to fraction form
    16,493.76/24,717.60 = 9,101.76/x
  3. Step 3: Cross multiply
    16,493.76x = 24,717.60 × 9,101.76
  4. Step 4: Simplify right side
    16,493.76x = 224,973,662.98
  5. Step 5: Solve for x
    x = 224,973,662.98/16,493.76
  6. Step 6: Final answer
    x = 13,639.93

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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.