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Finding the Fourth Proportional to 30,142.59, 41,596.32 and 16,713.60

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Solution

The fourth proportional to 30,142.59, 41,596.32 and 16,713.60 is: 23,064.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.59 : 41,596.32 = 16,713.60 : x
  2. Step 2: Convert to fraction form
    30,142.59/41,596.32 = 16,713.60/x
  3. Step 3: Cross multiply
    30,142.59x = 41,596.32 × 16,713.60
  4. Step 4: Simplify right side
    30,142.59x = 695,224,253.95
  5. Step 5: Solve for x
    x = 695,224,253.95/30,142.59
  6. Step 6: Final answer
    x = 23,064.52

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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.