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Finding the Fourth Proportional to 15,196.34, 20,963.76 and 9,889.22

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Solution

The fourth proportional to 15,196.34, 20,963.76 and 9,889.22 is: 13,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,196.34 : 20,963.76 = 9,889.22 : x
  2. Step 2: Convert to fraction form
    15,196.34/20,963.76 = 9,889.22/x
  3. Step 3: Cross multiply
    15,196.34x = 20,963.76 × 9,889.22
  4. Step 4: Simplify right side
    15,196.34x = 207,315,234.67
  5. Step 5: Solve for x
    x = 207,315,234.67/15,196.34
  6. Step 6: Final answer
    x = 13,642.45

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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.