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Finding the Fourth Proportional to 22,155, 30,539.82 and 14,588.28

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Solution

The fourth proportional to 22,155, 30,539.82 and 14,588.28 is: 20,109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,155 : 30,539.82 = 14,588.28 : x
  2. Step 2: Convert to fraction form
    22,155/30,539.82 = 14,588.28/x
  3. Step 3: Cross multiply
    22,155x = 30,539.82 × 14,588.28
  4. Step 4: Simplify right side
    22,155x = 445,523,445.31
  5. Step 5: Solve for x
    x = 445,523,445.31/22,155
  6. Step 6: Final answer
    x = 20,109.39

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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.