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Finding the Fourth Proportional to 16,133.84, 22,236.36 and 15,684.56

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Solution

The fourth proportional to 16,133.84, 22,236.36 and 15,684.56 is: 21,617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,133.84 : 22,236.36 = 15,684.56 : x
  2. Step 2: Convert to fraction form
    16,133.84/22,236.36 = 15,684.56/x
  3. Step 3: Cross multiply
    16,133.84x = 22,236.36 × 15,684.56
  4. Step 4: Simplify right side
    16,133.84x = 348,767,522.60
  5. Step 5: Solve for x
    x = 348,767,522.60/16,133.84
  6. Step 6: Final answer
    x = 21,617.14

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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.