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Finding the Fourth Proportional to 39,857.87, 59,790.86 and 13,564.46

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Solution

The fourth proportional to 39,857.87, 59,790.86 and 13,564.46 is: 20,348.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,857.87 : 59,790.86 = 13,564.46 : x
  2. Step 2: Convert to fraction form
    39,857.87/59,790.86 = 13,564.46/x
  3. Step 3: Cross multiply
    39,857.87x = 59,790.86 × 13,564.46
  4. Step 4: Simplify right side
    39,857.87x = 811,030,661.01
  5. Step 5: Solve for x
    x = 811,030,661.01/39,857.87
  6. Step 6: Final answer
    x = 20,348.07

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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.