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Finding the Fourth Proportional to 21,070.38, 31,602.15 and 7,029.84

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Solution

The fourth proportional to 21,070.38, 31,602.15 and 7,029.84 is: 10,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,070.38 : 31,602.15 = 7,029.84 : x
  2. Step 2: Convert to fraction form
    21,070.38/31,602.15 = 7,029.84/x
  3. Step 3: Cross multiply
    21,070.38x = 31,602.15 × 7,029.84
  4. Step 4: Simplify right side
    21,070.38x = 222,157,998.90
  5. Step 5: Solve for x
    x = 222,157,998.90/21,070.38
  6. Step 6: Final answer
    x = 10,543.62

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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.