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Finding the Fourth Proportional to 20,935.92, 31,403.88 and 9,838.92

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Solution

The fourth proportional to 20,935.92, 31,403.88 and 9,838.92 is: 14,758.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,935.92 : 31,403.88 = 9,838.92 : x
  2. Step 2: Convert to fraction form
    20,935.92/31,403.88 = 9,838.92/x
  3. Step 3: Cross multiply
    20,935.92x = 31,403.88 × 9,838.92
  4. Step 4: Simplify right side
    20,935.92x = 308,980,263.01
  5. Step 5: Solve for x
    x = 308,980,263.01/20,935.92
  6. Step 6: Final answer
    x = 14,758.38

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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.