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Finding the Fourth Proportional to 29,685.68, 40,963.80 and 17,111.28

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Solution

The fourth proportional to 29,685.68, 40,963.80 and 17,111.28 is: 23,612.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.68 : 40,963.80 = 17,111.28 : x
  2. Step 2: Convert to fraction form
    29,685.68/40,963.80 = 17,111.28/x
  3. Step 3: Cross multiply
    29,685.68x = 40,963.80 × 17,111.28
  4. Step 4: Simplify right side
    29,685.68x = 700,943,051.66
  5. Step 5: Solve for x
    x = 700,943,051.66/29,685.68
  6. Step 6: Final answer
    x = 23,612.16

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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.