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Finding the Fourth Proportional to 24,858.14, 37,293.04 and 8,218.16

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Solution

The fourth proportional to 24,858.14, 37,293.04 and 8,218.16 is: 12,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,858.14 : 37,293.04 = 8,218.16 : x
  2. Step 2: Convert to fraction form
    24,858.14/37,293.04 = 8,218.16/x
  3. Step 3: Cross multiply
    24,858.14x = 37,293.04 × 8,218.16
  4. Step 4: Simplify right side
    24,858.14x = 306,480,133.26
  5. Step 5: Solve for x
    x = 306,480,133.26/24,858.14
  6. Step 6: Final answer
    x = 12,329.17

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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.