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Finding the Fourth Proportional to 30,142.42, 41,594.51 and 16,713.18

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Solution

The fourth proportional to 30,142.42, 41,594.51 and 16,713.18 is: 23,063.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.42 : 41,594.51 = 16,713.18 : x
  2. Step 2: Convert to fraction form
    30,142.42/41,594.51 = 16,713.18/x
  3. Step 3: Cross multiply
    30,142.42x = 41,594.51 × 16,713.18
  4. Step 4: Simplify right side
    30,142.42x = 695,176,457.44
  5. Step 5: Solve for x
    x = 695,176,457.44/30,142.42
  6. Step 6: Final answer
    x = 23,063.06

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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.