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Finding the Fourth Proportional to 18,918.16, 28,376.64 and 5,770

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Solution

The fourth proportional to 18,918.16, 28,376.64 and 5,770 is: 8,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,918.16 : 28,376.64 = 5,770 : x
  2. Step 2: Convert to fraction form
    18,918.16/28,376.64 = 5,770/x
  3. Step 3: Cross multiply
    18,918.16x = 28,376.64 × 5,770
  4. Step 4: Simplify right side
    18,918.16x = 163,733,212.80
  5. Step 5: Solve for x
    x = 163,733,212.80/18,918.16
  6. Step 6: Final answer
    x = 8,654.82

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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.