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Finding the Fourth Proportional to 29,722.31, 41,018.06 and 17,783.35

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Solution

The fourth proportional to 29,722.31, 41,018.06 and 17,783.35 is: 24,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,722.31 : 41,018.06 = 17,783.35 : x
  2. Step 2: Convert to fraction form
    29,722.31/41,018.06 = 17,783.35/x
  3. Step 3: Cross multiply
    29,722.31x = 41,018.06 × 17,783.35
  4. Step 4: Simplify right side
    29,722.31x = 729,438,312.21
  5. Step 5: Solve for x
    x = 729,438,312.21/29,722.31
  6. Step 6: Final answer
    x = 24,541.78

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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.