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Finding the Fourth Proportional to 17,458.02, 24,091.65 and 9,500.22

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Solution

The fourth proportional to 17,458.02, 24,091.65 and 9,500.22 is: 13,110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,458.02 : 24,091.65 = 9,500.22 : x
  2. Step 2: Convert to fraction form
    17,458.02/24,091.65 = 9,500.22/x
  3. Step 3: Cross multiply
    17,458.02x = 24,091.65 × 9,500.22
  4. Step 4: Simplify right side
    17,458.02x = 228,875,975.16
  5. Step 5: Solve for x
    x = 228,875,975.16/17,458.02
  6. Step 6: Final answer
    x = 13,110.08

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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.