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Finding the Fourth Proportional to 16,262.87, 22,442.93 and 9,548.57

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Solution

The fourth proportional to 16,262.87, 22,442.93 and 9,548.57 is: 13,177.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,262.87 : 22,442.93 = 9,548.57 : x
  2. Step 2: Convert to fraction form
    16,262.87/22,442.93 = 9,548.57/x
  3. Step 3: Cross multiply
    16,262.87x = 22,442.93 × 9,548.57
  4. Step 4: Simplify right side
    16,262.87x = 214,297,728.15
  5. Step 5: Solve for x
    x = 214,297,728.15/16,262.87
  6. Step 6: Final answer
    x = 13,177.12

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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.