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Finding the Fourth Proportional to 22,120, 33,102.07 and 13,803.93

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Solution

The fourth proportional to 22,120, 33,102.07 and 13,803.93 is: 20,657.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,120 : 33,102.07 = 13,803.93 : x
  2. Step 2: Convert to fraction form
    22,120/33,102.07 = 13,803.93/x
  3. Step 3: Cross multiply
    22,120x = 33,102.07 × 13,803.93
  4. Step 4: Simplify right side
    22,120x = 456,938,657.14
  5. Step 5: Solve for x
    x = 456,938,657.14/22,120
  6. Step 6: Final answer
    x = 20,657.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.