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Finding the Fourth Proportional to 20,106.90, 30,160.35 and 14,922.90

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Solution

The fourth proportional to 20,106.90, 30,160.35 and 14,922.90 is: 22,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.90 : 30,160.35 = 14,922.90 : x
  2. Step 2: Convert to fraction form
    20,106.90/30,160.35 = 14,922.90/x
  3. Step 3: Cross multiply
    20,106.90x = 30,160.35 × 14,922.90
  4. Step 4: Simplify right side
    20,106.90x = 450,079,887.02
  5. Step 5: Solve for x
    x = 450,079,887.02/20,106.90
  6. Step 6: Final answer
    x = 22,384.35

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