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Finding the Fourth Proportional to 13,908.50, 19,193.98 and 7,535.22

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Solution

The fourth proportional to 13,908.50, 19,193.98 and 7,535.22 is: 10,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908.50 : 19,193.98 = 7,535.22 : x
  2. Step 2: Convert to fraction form
    13,908.50/19,193.98 = 7,535.22/x
  3. Step 3: Cross multiply
    13,908.50x = 19,193.98 × 7,535.22
  4. Step 4: Simplify right side
    13,908.50x = 144,630,861.98
  5. Step 5: Solve for x
    x = 144,630,861.98/13,908.50
  6. Step 6: Final answer
    x = 10,398.74

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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.