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Finding the Fourth Proportional to 30,601.23, 45,904.07 and 12,814

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Solution

The fourth proportional to 30,601.23, 45,904.07 and 12,814 is: 19,221.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,601.23 : 45,904.07 = 12,814 : x
  2. Step 2: Convert to fraction form
    30,601.23/45,904.07 = 12,814/x
  3. Step 3: Cross multiply
    30,601.23x = 45,904.07 × 12,814
  4. Step 4: Simplify right side
    30,601.23x = 588,214,752.98
  5. Step 5: Solve for x
    x = 588,214,752.98/30,601.23
  6. Step 6: Final answer
    x = 19,221.93

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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.