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Finding the Fourth Proportional to 29,802.96, 41,127.80 and 16,191.28

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Solution

The fourth proportional to 29,802.96, 41,127.80 and 16,191.28 is: 22,343.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,802.96 : 41,127.80 = 16,191.28 : x
  2. Step 2: Convert to fraction form
    29,802.96/41,127.80 = 16,191.28/x
  3. Step 3: Cross multiply
    29,802.96x = 41,127.80 × 16,191.28
  4. Step 4: Simplify right side
    29,802.96x = 665,911,725.58
  5. Step 5: Solve for x
    x = 665,911,725.58/29,802.96
  6. Step 6: Final answer
    x = 22,343.81

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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.