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Finding the Fourth Proportional to 15,505.86, 21,390.56 and 9,213.78

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Solution

The fourth proportional to 15,505.86, 21,390.56 and 9,213.78 is: 12,710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,505.86 : 21,390.56 = 9,213.78 : x
  2. Step 2: Convert to fraction form
    15,505.86/21,390.56 = 9,213.78/x
  3. Step 3: Cross multiply
    15,505.86x = 21,390.56 × 9,213.78
  4. Step 4: Simplify right side
    15,505.86x = 197,087,913.92
  5. Step 5: Solve for x
    x = 197,087,913.92/15,505.86
  6. Step 6: Final answer
    x = 12,710.54

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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.