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Finding the Fourth Proportional to 16,264.98, 22,448.07 and 10,297.20

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Solution

The fourth proportional to 16,264.98, 22,448.07 and 10,297.20 is: 14,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.98 : 22,448.07 = 10,297.20 : x
  2. Step 2: Convert to fraction form
    16,264.98/22,448.07 = 10,297.20/x
  3. Step 3: Cross multiply
    16,264.98x = 22,448.07 × 10,297.20
  4. Step 4: Simplify right side
    16,264.98x = 231,152,330.89
  5. Step 5: Solve for x
    x = 231,152,330.89/16,264.98
  6. Step 6: Final answer
    x = 14,211.66

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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.