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Finding the Fourth Proportional to 19,400.40, 29,051.16 and 12,806.46

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Solution

The fourth proportional to 19,400.40, 29,051.16 and 12,806.46 is: 19,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,400.40 : 29,051.16 = 12,806.46 : x
  2. Step 2: Convert to fraction form
    19,400.40/29,051.16 = 12,806.46/x
  3. Step 3: Cross multiply
    19,400.40x = 29,051.16 × 12,806.46
  4. Step 4: Simplify right side
    19,400.40x = 372,042,518.49
  5. Step 5: Solve for x
    x = 372,042,518.49/19,400.40
  6. Step 6: Final answer
    x = 19,177.05

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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.