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Finding the Fourth Proportional to 16,946.24, 25,424.16 and 9,160.64

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Solution

The fourth proportional to 16,946.24, 25,424.16 and 9,160.64 is: 13,743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,946.24 : 25,424.16 = 9,160.64 : x
  2. Step 2: Convert to fraction form
    16,946.24/25,424.16 = 9,160.64/x
  3. Step 3: Cross multiply
    16,946.24x = 25,424.16 × 9,160.64
  4. Step 4: Simplify right side
    16,946.24x = 232,901,577.06
  5. Step 5: Solve for x
    x = 232,901,577.06/16,946.24
  6. Step 6: Final answer
    x = 13,743.55

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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.