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Finding the Fourth Proportional to 15,189.63, 20,963.71 and 8,902

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Solution

The fourth proportional to 15,189.63, 20,963.71 and 8,902 is: 12,285.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,189.63 : 20,963.71 = 8,902 : x
  2. Step 2: Convert to fraction form
    15,189.63/20,963.71 = 8,902/x
  3. Step 3: Cross multiply
    15,189.63x = 20,963.71 × 8,902
  4. Step 4: Simplify right side
    15,189.63x = 186,618,946.42
  5. Step 5: Solve for x
    x = 186,618,946.42/15,189.63
  6. Step 6: Final answer
    x = 12,285.94

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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.