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Finding the Fourth Proportional to 29,835.14, 41,173.18 and 16,407.14

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Solution

The fourth proportional to 29,835.14, 41,173.18 and 16,407.14 is: 22,642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835.14 : 41,173.18 = 16,407.14 : x
  2. Step 2: Convert to fraction form
    29,835.14/41,173.18 = 16,407.14/x
  3. Step 3: Cross multiply
    29,835.14x = 41,173.18 × 16,407.14
  4. Step 4: Simplify right side
    29,835.14x = 675,534,128.51
  5. Step 5: Solve for x
    x = 675,534,128.51/29,835.14
  6. Step 6: Final answer
    x = 22,642.23

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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.