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Finding the Fourth Proportional to 13,490.30, 20,132.44 and 12,014.08

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Solution

The fourth proportional to 13,490.30, 20,132.44 and 12,014.08 is: 17,929.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.30 : 20,132.44 = 12,014.08 : x
  2. Step 2: Convert to fraction form
    13,490.30/20,132.44 = 12,014.08/x
  3. Step 3: Cross multiply
    13,490.30x = 20,132.44 × 12,014.08
  4. Step 4: Simplify right side
    13,490.30x = 241,872,664.39
  5. Step 5: Solve for x
    x = 241,872,664.39/13,490.30
  6. Step 6: Final answer
    x = 17,929.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.