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Finding the Fourth Proportional to 12,686.14, 19,014.63 and 8,521.12

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Solution

The fourth proportional to 12,686.14, 19,014.63 and 8,521.12 is: 12,771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686.14 : 19,014.63 = 8,521.12 : x
  2. Step 2: Convert to fraction form
    12,686.14/19,014.63 = 8,521.12/x
  3. Step 3: Cross multiply
    12,686.14x = 19,014.63 × 8,521.12
  4. Step 4: Simplify right side
    12,686.14x = 162,025,943.99
  5. Step 5: Solve for x
    x = 162,025,943.99/12,686.14
  6. Step 6: Final answer
    x = 12,771.89

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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.