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Finding the Fourth Proportional to 30,215.40, 45,323.10 and 12,697.80

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Solution

The fourth proportional to 30,215.40, 45,323.10 and 12,697.80 is: 19,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,215.40 : 45,323.10 = 12,697.80 : x
  2. Step 2: Convert to fraction form
    30,215.40/45,323.10 = 12,697.80/x
  3. Step 3: Cross multiply
    30,215.40x = 45,323.10 × 12,697.80
  4. Step 4: Simplify right side
    30,215.40x = 575,503,659.18
  5. Step 5: Solve for x
    x = 575,503,659.18/30,215.40
  6. Step 6: Final answer
    x = 19,046.70

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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.