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Finding the Fourth Proportional to 17,574.12, 26,358.14 and 8,214.98

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Solution

The fourth proportional to 17,574.12, 26,358.14 and 8,214.98 is: 12,321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,574.12 : 26,358.14 = 8,214.98 : x
  2. Step 2: Convert to fraction form
    17,574.12/26,358.14 = 8,214.98/x
  3. Step 3: Cross multiply
    17,574.12x = 26,358.14 × 8,214.98
  4. Step 4: Simplify right side
    17,574.12x = 216,531,592.94
  5. Step 5: Solve for x
    x = 216,531,592.94/17,574.12
  6. Step 6: Final answer
    x = 12,321.05

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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.