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Finding the Fourth Proportional to 19,649.16, 27,108 and 11,688.48

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Solution

The fourth proportional to 19,649.16, 27,108 and 11,688.48 is: 16,125.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649.16 : 27,108 = 11,688.48 : x
  2. Step 2: Convert to fraction form
    19,649.16/27,108 = 11,688.48/x
  3. Step 3: Cross multiply
    19,649.16x = 27,108 × 11,688.48
  4. Step 4: Simplify right side
    19,649.16x = 316,851,315.84
  5. Step 5: Solve for x
    x = 316,851,315.84/19,649.16
  6. Step 6: Final answer
    x = 16,125.44

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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.