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Finding the Fourth Proportional to 19,812.30, 29,698.46 and 12,421.95

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Solution

The fourth proportional to 19,812.30, 29,698.46 and 12,421.95 is: 18,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,812.30 : 29,698.46 = 12,421.95 : x
  2. Step 2: Convert to fraction form
    19,812.30/29,698.46 = 12,421.95/x
  3. Step 3: Cross multiply
    19,812.30x = 29,698.46 × 12,421.95
  4. Step 4: Simplify right side
    19,812.30x = 368,912,785.20
  5. Step 5: Solve for x
    x = 368,912,785.20/19,812.30
  6. Step 6: Final answer
    x = 18,620.39

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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.