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Finding the Fourth Proportional to 17,458.06, 24,091.64 and 9,500.10

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Solution

The fourth proportional to 17,458.06, 24,091.64 and 9,500.10 is: 13,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,458.06 : 24,091.64 = 9,500.10 : x
  2. Step 2: Convert to fraction form
    17,458.06/24,091.64 = 9,500.10/x
  3. Step 3: Cross multiply
    17,458.06x = 24,091.64 × 9,500.10
  4. Step 4: Simplify right side
    17,458.06x = 228,872,989.16
  5. Step 5: Solve for x
    x = 228,872,989.16/17,458.06
  6. Step 6: Final answer
    x = 13,109.88

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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.