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Finding the Fourth Proportional to 16,097.58, 24,146.39 and 9,157.50

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Solution

The fourth proportional to 16,097.58, 24,146.39 and 9,157.50 is: 13,736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.58 : 24,146.39 = 9,157.50 : x
  2. Step 2: Convert to fraction form
    16,097.58/24,146.39 = 9,157.50/x
  3. Step 3: Cross multiply
    16,097.58x = 24,146.39 × 9,157.50
  4. Step 4: Simplify right side
    16,097.58x = 221,120,566.43
  5. Step 5: Solve for x
    x = 221,120,566.43/16,097.58
  6. Step 6: Final answer
    x = 13,736.26

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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.