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Finding the Fourth Proportional to 30,659.60, 42,311.76 and 17,230.16

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Solution

The fourth proportional to 30,659.60, 42,311.76 and 17,230.16 is: 23,778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,659.60 : 42,311.76 = 17,230.16 : x
  2. Step 2: Convert to fraction form
    30,659.60/42,311.76 = 17,230.16/x
  3. Step 3: Cross multiply
    30,659.60x = 42,311.76 × 17,230.16
  4. Step 4: Simplify right side
    30,659.60x = 729,038,394.68
  5. Step 5: Solve for x
    x = 729,038,394.68/30,659.60
  6. Step 6: Final answer
    x = 23,778.47

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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.