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Finding the Fourth Proportional to 13,752.18, 20,609.64 and 9,847.98

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Solution

The fourth proportional to 13,752.18, 20,609.64 and 9,847.98 is: 14,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.18 : 20,609.64 = 9,847.98 : x
  2. Step 2: Convert to fraction form
    13,752.18/20,609.64 = 9,847.98/x
  3. Step 3: Cross multiply
    13,752.18x = 20,609.64 × 9,847.98
  4. Step 4: Simplify right side
    13,752.18x = 202,963,322.53
  5. Step 5: Solve for x
    x = 202,963,322.53/13,752.18
  6. Step 6: Final answer
    x = 14,758.63

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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.