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Finding the Fourth Proportional to 19,205.76, 26,505.02 and 10,822.80

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Solution

The fourth proportional to 19,205.76, 26,505.02 and 10,822.80 is: 14,936.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205.76 : 26,505.02 = 10,822.80 : x
  2. Step 2: Convert to fraction form
    19,205.76/26,505.02 = 10,822.80/x
  3. Step 3: Cross multiply
    19,205.76x = 26,505.02 × 10,822.80
  4. Step 4: Simplify right side
    19,205.76x = 286,858,530.46
  5. Step 5: Solve for x
    x = 286,858,530.46/19,205.76
  6. Step 6: Final answer
    x = 14,936.07

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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.