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Finding the Fourth Proportional to 15,153.86, 20,911.14 and 8,438.40

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Solution

The fourth proportional to 15,153.86, 20,911.14 and 8,438.40 is: 11,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,153.86 : 20,911.14 = 8,438.40 : x
  2. Step 2: Convert to fraction form
    15,153.86/20,911.14 = 8,438.40/x
  3. Step 3: Cross multiply
    15,153.86x = 20,911.14 × 8,438.40
  4. Step 4: Simplify right side
    15,153.86x = 176,456,598.86
  5. Step 5: Solve for x
    x = 176,456,598.86/15,153.86
  6. Step 6: Final answer
    x = 11,644.33

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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.