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Finding the Fourth Proportional to 24,804.14, 37,206.31 and 6,084.30

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Solution

The fourth proportional to 24,804.14, 37,206.31 and 6,084.30 is: 9,126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,804.14 : 37,206.31 = 6,084.30 : x
  2. Step 2: Convert to fraction form
    24,804.14/37,206.31 = 6,084.30/x
  3. Step 3: Cross multiply
    24,804.14x = 37,206.31 × 6,084.30
  4. Step 4: Simplify right side
    24,804.14x = 226,374,351.93
  5. Step 5: Solve for x
    x = 226,374,351.93/24,804.14
  6. Step 6: Final answer
    x = 9,126.47

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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.