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Finding the Fourth Proportional to 25,083.77, 37,641.93 and 10,866.14

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Solution

The fourth proportional to 25,083.77, 37,641.93 and 10,866.14 is: 16,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,083.77 : 37,641.93 = 10,866.14 : x
  2. Step 2: Convert to fraction form
    25,083.77/37,641.93 = 10,866.14/x
  3. Step 3: Cross multiply
    25,083.77x = 37,641.93 × 10,866.14
  4. Step 4: Simplify right side
    25,083.77x = 409,022,293.04
  5. Step 5: Solve for x
    x = 409,022,293.04/25,083.77
  6. Step 6: Final answer
    x = 16,306.25

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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.