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Finding the Fourth Proportional to 21,115.72, 31,662.96 and 7,070.86

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Solution

The fourth proportional to 21,115.72, 31,662.96 and 7,070.86 is: 10,602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,115.72 : 31,662.96 = 7,070.86 : x
  2. Step 2: Convert to fraction form
    21,115.72/31,662.96 = 7,070.86/x
  3. Step 3: Cross multiply
    21,115.72x = 31,662.96 × 7,070.86
  4. Step 4: Simplify right side
    21,115.72x = 223,884,357.35
  5. Step 5: Solve for x
    x = 223,884,357.35/21,115.72
  6. Step 6: Final answer
    x = 10,602.73

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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.