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Finding the Fourth Proportional to 13,602.91, 18,771.54 and 7,634.92

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Solution

The fourth proportional to 13,602.91, 18,771.54 and 7,634.92 is: 10,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.91 : 18,771.54 = 7,634.92 : x
  2. Step 2: Convert to fraction form
    13,602.91/18,771.54 = 7,634.92/x
  3. Step 3: Cross multiply
    13,602.91x = 18,771.54 × 7,634.92
  4. Step 4: Simplify right side
    13,602.91x = 143,319,206.18
  5. Step 5: Solve for x
    x = 143,319,206.18/13,602.91
  6. Step 6: Final answer
    x = 10,535.92

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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.