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Finding the Fourth Proportional to 13,114.61, 19,686.50 and 12,910.49

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Solution

The fourth proportional to 13,114.61, 19,686.50 and 12,910.49 is: 19,380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.61 : 19,686.50 = 12,910.49 : x
  2. Step 2: Convert to fraction form
    13,114.61/19,686.50 = 12,910.49/x
  3. Step 3: Cross multiply
    13,114.61x = 19,686.50 × 12,910.49
  4. Step 4: Simplify right side
    13,114.61x = 254,162,296.83
  5. Step 5: Solve for x
    x = 254,162,296.83/13,114.61
  6. Step 6: Final answer
    x = 19,380.09

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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.