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Finding the Fourth Proportional to 14,989, 20,685.15 and 8,274.61

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Solution

The fourth proportional to 14,989, 20,685.15 and 8,274.61 is: 11,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,989 : 20,685.15 = 8,274.61 : x
  2. Step 2: Convert to fraction form
    14,989/20,685.15 = 8,274.61/x
  3. Step 3: Cross multiply
    14,989x = 20,685.15 × 8,274.61
  4. Step 4: Simplify right side
    14,989x = 171,161,549.04
  5. Step 5: Solve for x
    x = 171,161,549.04/14,989
  6. Step 6: Final answer
    x = 11,419.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.