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Finding the Fourth Proportional to 20,218.84, 27,901.76 and 11,266.32

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Solution

The fourth proportional to 20,218.84, 27,901.76 and 11,266.32 is: 15,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,218.84 : 27,901.76 = 11,266.32 : x
  2. Step 2: Convert to fraction form
    20,218.84/27,901.76 = 11,266.32/x
  3. Step 3: Cross multiply
    20,218.84x = 27,901.76 × 11,266.32
  4. Step 4: Simplify right side
    20,218.84x = 314,350,156.72
  5. Step 5: Solve for x
    x = 314,350,156.72/20,218.84
  6. Step 6: Final answer
    x = 15,547.39

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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.