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Finding the Fourth Proportional to 15,129.54, 22,688.64 and 6,809.22

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Solution

The fourth proportional to 15,129.54, 22,688.64 and 6,809.22 is: 10,211.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,129.54 : 22,688.64 = 6,809.22 : x
  2. Step 2: Convert to fraction form
    15,129.54/22,688.64 = 6,809.22/x
  3. Step 3: Cross multiply
    15,129.54x = 22,688.64 × 6,809.22
  4. Step 4: Simplify right side
    15,129.54x = 154,491,941.26
  5. Step 5: Solve for x
    x = 154,491,941.26/15,129.54
  6. Step 6: Final answer
    x = 10,211.28

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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.