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Finding the Fourth Proportional to 19,678.60, 29,468.22 and 11,776.24

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Solution

The fourth proportional to 19,678.60, 29,468.22 and 11,776.24 is: 17,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,678.60 : 29,468.22 = 11,776.24 : x
  2. Step 2: Convert to fraction form
    19,678.60/29,468.22 = 11,776.24/x
  3. Step 3: Cross multiply
    19,678.60x = 29,468.22 × 11,776.24
  4. Step 4: Simplify right side
    19,678.60x = 347,024,831.09
  5. Step 5: Solve for x
    x = 347,024,831.09/19,678.60
  6. Step 6: Final answer
    x = 17,634.63

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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.