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Finding the Fourth Proportional to 14,417.76, 21,627.56 and 6,096.23

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Solution

The fourth proportional to 14,417.76, 21,627.56 and 6,096.23 is: 9,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417.76 : 21,627.56 = 6,096.23 : x
  2. Step 2: Convert to fraction form
    14,417.76/21,627.56 = 6,096.23/x
  3. Step 3: Cross multiply
    14,417.76x = 21,627.56 × 6,096.23
  4. Step 4: Simplify right side
    14,417.76x = 131,846,580.10
  5. Step 5: Solve for x
    x = 131,846,580.10/14,417.76
  6. Step 6: Final answer
    x = 9,144.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.