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Finding the Fourth Proportional to 16,097.16, 24,146.82 and 9,157.08

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Solution

The fourth proportional to 16,097.16, 24,146.82 and 9,157.08 is: 13,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.16 : 24,146.82 = 9,157.08 : x
  2. Step 2: Convert to fraction form
    16,097.16/24,146.82 = 9,157.08/x
  3. Step 3: Cross multiply
    16,097.16x = 24,146.82 × 9,157.08
  4. Step 4: Simplify right side
    16,097.16x = 221,114,362.49
  5. Step 5: Solve for x
    x = 221,114,362.49/16,097.16
  6. Step 6: Final answer
    x = 13,736.23

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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.