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Finding the Fourth Proportional to 39,987.88, 59,984 and 10,405.80

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Solution

The fourth proportional to 39,987.88, 59,984 and 10,405.80 is: 15,609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,987.88 : 59,984 = 10,405.80 : x
  2. Step 2: Convert to fraction form
    39,987.88/59,984 = 10,405.80/x
  3. Step 3: Cross multiply
    39,987.88x = 59,984 × 10,405.80
  4. Step 4: Simplify right side
    39,987.88x = 624,181,507.20
  5. Step 5: Solve for x
    x = 624,181,507.20/39,987.88
  6. Step 6: Final answer
    x = 15,609.27

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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.