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Finding the Fourth Proportional to 22,549.68, 33,659.19 and 20,928.06

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Solution

The fourth proportional to 22,549.68, 33,659.19 and 20,928.06 is: 31,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,549.68 : 33,659.19 = 20,928.06 : x
  2. Step 2: Convert to fraction form
    22,549.68/33,659.19 = 20,928.06/x
  3. Step 3: Cross multiply
    22,549.68x = 33,659.19 × 20,928.06
  4. Step 4: Simplify right side
    22,549.68x = 704,421,547.87
  5. Step 5: Solve for x
    x = 704,421,547.87/22,549.68
  6. Step 6: Final answer
    x = 31,238.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.