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Finding the Fourth Proportional to 14,487.14, 19,993.53 and 8,113.63

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Solution

The fourth proportional to 14,487.14, 19,993.53 and 8,113.63 is: 11,197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,487.14 : 19,993.53 = 8,113.63 : x
  2. Step 2: Convert to fraction form
    14,487.14/19,993.53 = 8,113.63/x
  3. Step 3: Cross multiply
    14,487.14x = 19,993.53 × 8,113.63
  4. Step 4: Simplify right side
    14,487.14x = 162,220,129.81
  5. Step 5: Solve for x
    x = 162,220,129.81/14,487.14
  6. Step 6: Final answer
    x = 11,197.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.