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Finding the Fourth Proportional to 13,908.99, 19,194.45 and 7,535.64

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Solution

The fourth proportional to 13,908.99, 19,194.45 and 7,535.64 is: 10,399.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,908.99 : 19,194.45 = 7,535.64 : x
  2. Step 2: Convert to fraction form
    13,908.99/19,194.45 = 7,535.64/x
  3. Step 3: Cross multiply
    13,908.99x = 19,194.45 × 7,535.64
  4. Step 4: Simplify right side
    13,908.99x = 144,642,465.20
  5. Step 5: Solve for x
    x = 144,642,465.20/13,908.99
  6. Step 6: Final answer
    x = 10,399.21

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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.