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Finding the Fourth Proportional to 16,313.40, 22,509.63 and 9,600.39

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Solution

The fourth proportional to 16,313.40, 22,509.63 and 9,600.39 is: 13,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,313.40 : 22,509.63 = 9,600.39 : x
  2. Step 2: Convert to fraction form
    16,313.40/22,509.63 = 9,600.39/x
  3. Step 3: Cross multiply
    16,313.40x = 22,509.63 × 9,600.39
  4. Step 4: Simplify right side
    16,313.40x = 216,101,226.76
  5. Step 5: Solve for x
    x = 216,101,226.76/16,313.40
  6. Step 6: Final answer
    x = 13,246.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.