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Finding the Fourth Proportional to 12,614.90, 18,897.44 and 7,336.63

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Solution

The fourth proportional to 12,614.90, 18,897.44 and 7,336.63 is: 10,990.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.90 : 18,897.44 = 7,336.63 : x
  2. Step 2: Convert to fraction form
    12,614.90/18,897.44 = 7,336.63/x
  3. Step 3: Cross multiply
    12,614.90x = 18,897.44 × 7,336.63
  4. Step 4: Simplify right side
    12,614.90x = 138,643,512.17
  5. Step 5: Solve for x
    x = 138,643,512.17/12,614.90
  6. Step 6: Final answer
    x = 10,990.46

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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.