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Finding the Fourth Proportional to 22,298.56, 30,775.14 and 13,803.39

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Solution

The fourth proportional to 22,298.56, 30,775.14 and 13,803.39 is: 19,050.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,298.56 : 30,775.14 = 13,803.39 : x
  2. Step 2: Convert to fraction form
    22,298.56/30,775.14 = 13,803.39/x
  3. Step 3: Cross multiply
    22,298.56x = 30,775.14 × 13,803.39
  4. Step 4: Simplify right side
    22,298.56x = 424,801,259.72
  5. Step 5: Solve for x
    x = 424,801,259.72/22,298.56
  6. Step 6: Final answer
    x = 19,050.62

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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.