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Finding the Fourth Proportional to 13,092.46, 19,632.25 and 4,656.13

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Solution

The fourth proportional to 13,092.46, 19,632.25 and 4,656.13 is: 6,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,092.46 : 19,632.25 = 4,656.13 : x
  2. Step 2: Convert to fraction form
    13,092.46/19,632.25 = 4,656.13/x
  3. Step 3: Cross multiply
    13,092.46x = 19,632.25 × 4,656.13
  4. Step 4: Simplify right side
    13,092.46x = 91,410,308.19
  5. Step 5: Solve for x
    x = 91,410,308.19/13,092.46
  6. Step 6: Final answer
    x = 6,981.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.