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Finding the Fourth Proportional to 37,863.69, 56,802.29 and 12,564.73

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Solution

The fourth proportional to 37,863.69, 56,802.29 and 12,564.73 is: 18,849.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,863.69 : 56,802.29 = 12,564.73 : x
  2. Step 2: Convert to fraction form
    37,863.69/56,802.29 = 12,564.73/x
  3. Step 3: Cross multiply
    37,863.69x = 56,802.29 × 12,564.73
  4. Step 4: Simplify right side
    37,863.69x = 713,705,437.23
  5. Step 5: Solve for x
    x = 713,705,437.23/37,863.69
  6. Step 6: Final answer
    x = 18,849.34

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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.