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Finding the Fourth Proportional to 29,719.94, 41,011.79 and 17,783.17

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Solution

The fourth proportional to 29,719.94, 41,011.79 and 17,783.17 is: 24,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,719.94 : 41,011.79 = 17,783.17 : x
  2. Step 2: Convert to fraction form
    29,719.94/41,011.79 = 17,783.17/x
  3. Step 3: Cross multiply
    29,719.94x = 41,011.79 × 17,783.17
  4. Step 4: Simplify right side
    29,719.94x = 729,319,442.13
  5. Step 5: Solve for x
    x = 729,319,442.13/29,719.94
  6. Step 6: Final answer
    x = 24,539.74

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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.