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Finding the Fourth Proportional to 18,420, 27,657.68 and 11,057.40

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Solution

The fourth proportional to 18,420, 27,657.68 and 11,057.40 is: 16,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,420 : 27,657.68 = 11,057.40 : x
  2. Step 2: Convert to fraction form
    18,420/27,657.68 = 11,057.40/x
  3. Step 3: Cross multiply
    18,420x = 27,657.68 × 11,057.40
  4. Step 4: Simplify right side
    18,420x = 305,822,030.83
  5. Step 5: Solve for x
    x = 305,822,030.83/18,420
  6. Step 6: Final answer
    x = 16,602.72

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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.