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Finding the Fourth Proportional to 12,894.12, 19,341.18 and 3,659.88

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Solution

The fourth proportional to 12,894.12, 19,341.18 and 3,659.88 is: 5,489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.12 : 19,341.18 = 3,659.88 : x
  2. Step 2: Convert to fraction form
    12,894.12/19,341.18 = 3,659.88/x
  3. Step 3: Cross multiply
    12,894.12x = 19,341.18 × 3,659.88
  4. Step 4: Simplify right side
    12,894.12x = 70,786,397.86
  5. Step 5: Solve for x
    x = 70,786,397.86/12,894.12
  6. Step 6: Final answer
    x = 5,489.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.