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Finding the Fourth Proportional to 13,709.49, 18,919.11 and 7,421.87

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Solution

The fourth proportional to 13,709.49, 18,919.11 and 7,421.87 is: 10,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.49 : 18,919.11 = 7,421.87 : x
  2. Step 2: Convert to fraction form
    13,709.49/18,919.11 = 7,421.87/x
  3. Step 3: Cross multiply
    13,709.49x = 18,919.11 × 7,421.87
  4. Step 4: Simplify right side
    13,709.49x = 140,415,080.34
  5. Step 5: Solve for x
    x = 140,415,080.34/13,709.49
  6. Step 6: Final answer
    x = 10,242.18

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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.