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Finding the Fourth Proportional to 22,076.34, 30,432.45 and 16,114.74

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Solution

The fourth proportional to 22,076.34, 30,432.45 and 16,114.74 is: 22,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,076.34 : 30,432.45 = 16,114.74 : x
  2. Step 2: Convert to fraction form
    22,076.34/30,432.45 = 16,114.74/x
  3. Step 3: Cross multiply
    22,076.34x = 30,432.45 × 16,114.74
  4. Step 4: Simplify right side
    22,076.34x = 490,411,019.31
  5. Step 5: Solve for x
    x = 490,411,019.31/22,076.34
  6. Step 6: Final answer
    x = 22,214.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.