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Finding the Fourth Proportional to 13,694.40, 20,549.70 and 9,987.30

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Solution

The fourth proportional to 13,694.40, 20,549.70 and 9,987.30 is: 14,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,694.40 : 20,549.70 = 9,987.30 : x
  2. Step 2: Convert to fraction form
    13,694.40/20,549.70 = 9,987.30/x
  3. Step 3: Cross multiply
    13,694.40x = 20,549.70 × 9,987.30
  4. Step 4: Simplify right side
    13,694.40x = 205,236,018.81
  5. Step 5: Solve for x
    x = 205,236,018.81/13,694.40
  6. Step 6: Final answer
    x = 14,986.86

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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.