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Finding the Fourth Proportional to 29,998.12, 41,402.46 and 17,430.16

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Solution

The fourth proportional to 29,998.12, 41,402.46 and 17,430.16 is: 24,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,998.12 : 41,402.46 = 17,430.16 : x
  2. Step 2: Convert to fraction form
    29,998.12/41,402.46 = 17,430.16/x
  3. Step 3: Cross multiply
    29,998.12x = 41,402.46 × 17,430.16
  4. Step 4: Simplify right side
    29,998.12x = 721,651,502.19
  5. Step 5: Solve for x
    x = 721,651,502.19/29,998.12
  6. Step 6: Final answer
    x = 24,056.56

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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.