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Finding the Fourth Proportional to 17,228.13, 23,774.84 and 9,776.13

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Solution

The fourth proportional to 17,228.13, 23,774.84 and 9,776.13 is: 13,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,228.13 : 23,774.84 = 9,776.13 : x
  2. Step 2: Convert to fraction form
    17,228.13/23,774.84 = 9,776.13/x
  3. Step 3: Cross multiply
    17,228.13x = 23,774.84 × 9,776.13
  4. Step 4: Simplify right side
    17,228.13x = 232,425,926.57
  5. Step 5: Solve for x
    x = 232,425,926.57/17,228.13
  6. Step 6: Final answer
    x = 13,491.07

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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.