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Finding the Fourth Proportional to 16,172.25, 24,258.48 and 5,642.22

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Solution

The fourth proportional to 16,172.25, 24,258.48 and 5,642.22 is: 8,463.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,172.25 : 24,258.48 = 5,642.22 : x
  2. Step 2: Convert to fraction form
    16,172.25/24,258.48 = 5,642.22/x
  3. Step 3: Cross multiply
    16,172.25x = 24,258.48 × 5,642.22
  4. Step 4: Simplify right side
    16,172.25x = 136,871,750.84
  5. Step 5: Solve for x
    x = 136,871,750.84/16,172.25
  6. Step 6: Final answer
    x = 8,463.37

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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.