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Finding the Fourth Proportional to 12,101.60, 18,155.10 and 4,705.40

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Solution

The fourth proportional to 12,101.60, 18,155.10 and 4,705.40 is: 7,059.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.60 : 18,155.10 = 4,705.40 : x
  2. Step 2: Convert to fraction form
    12,101.60/18,155.10 = 4,705.40/x
  3. Step 3: Cross multiply
    12,101.60x = 18,155.10 × 4,705.40
  4. Step 4: Simplify right side
    12,101.60x = 85,427,007.54
  5. Step 5: Solve for x
    x = 85,427,007.54/12,101.60
  6. Step 6: Final answer
    x = 7,059.15

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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.