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Finding the Fourth Proportional to 30,142.60, 41,598.46 and 16,713.57

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Solution

The fourth proportional to 30,142.60, 41,598.46 and 16,713.57 is: 23,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.60 : 41,598.46 = 16,713.57 : x
  2. Step 2: Convert to fraction form
    30,142.60/41,598.46 = 16,713.57/x
  3. Step 3: Cross multiply
    30,142.60x = 41,598.46 × 16,713.57
  4. Step 4: Simplify right side
    30,142.60x = 695,258,855.97
  5. Step 5: Solve for x
    x = 695,258,855.97/30,142.60
  6. Step 6: Final answer
    x = 23,065.65

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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.