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Finding the Fourth Proportional to 37,802.88, 56,708.96 and 12,847.04

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Solution

The fourth proportional to 37,802.88, 56,708.96 and 12,847.04 is: 19,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,802.88 : 56,708.96 = 12,847.04 : x
  2. Step 2: Convert to fraction form
    37,802.88/56,708.96 = 12,847.04/x
  3. Step 3: Cross multiply
    37,802.88x = 56,708.96 × 12,847.04
  4. Step 4: Simplify right side
    37,802.88x = 728,542,277.48
  5. Step 5: Solve for x
    x = 728,542,277.48/37,802.88
  6. Step 6: Final answer
    x = 19,272.14

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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.