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Finding the Fourth Proportional to 20,155.40, 30,233.10 and 11,407.40

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Solution

The fourth proportional to 20,155.40, 30,233.10 and 11,407.40 is: 17,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,155.40 : 30,233.10 = 11,407.40 : x
  2. Step 2: Convert to fraction form
    20,155.40/30,233.10 = 11,407.40/x
  3. Step 3: Cross multiply
    20,155.40x = 30,233.10 × 11,407.40
  4. Step 4: Simplify right side
    20,155.40x = 344,881,064.94
  5. Step 5: Solve for x
    x = 344,881,064.94/20,155.40
  6. Step 6: Final answer
    x = 17,111.10

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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.