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Finding the Fourth Proportional to 29,685.84, 40,970.25 and 17,110.68

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Solution

The fourth proportional to 29,685.84, 40,970.25 and 17,110.68 is: 23,614.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.84 : 40,970.25 = 17,110.68 : x
  2. Step 2: Convert to fraction form
    29,685.84/40,970.25 = 17,110.68/x
  3. Step 3: Cross multiply
    29,685.84x = 40,970.25 × 17,110.68
  4. Step 4: Simplify right side
    29,685.84x = 701,028,837.27
  5. Step 5: Solve for x
    x = 701,028,837.27/29,685.84
  6. Step 6: Final answer
    x = 23,614.92

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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.