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Finding the Fourth Proportional to 15,688.53, 21,649.59 and 8,614.53

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Solution

The fourth proportional to 15,688.53, 21,649.59 and 8,614.53 is: 11,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,688.53 : 21,649.59 = 8,614.53 : x
  2. Step 2: Convert to fraction form
    15,688.53/21,649.59 = 8,614.53/x
  3. Step 3: Cross multiply
    15,688.53x = 21,649.59 × 8,614.53
  4. Step 4: Simplify right side
    15,688.53x = 186,501,042.54
  5. Step 5: Solve for x
    x = 186,501,042.54/15,688.53
  6. Step 6: Final answer
    x = 11,887.73

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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.