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Finding the Fourth Proportional to 21,012.68, 31,523.87 and 6,971.66

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Solution

The fourth proportional to 21,012.68, 31,523.87 and 6,971.66 is: 10,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012.68 : 31,523.87 = 6,971.66 : x
  2. Step 2: Convert to fraction form
    21,012.68/31,523.87 = 6,971.66/x
  3. Step 3: Cross multiply
    21,012.68x = 31,523.87 × 6,971.66
  4. Step 4: Simplify right side
    21,012.68x = 219,773,703.52
  5. Step 5: Solve for x
    x = 219,773,703.52/21,012.68
  6. Step 6: Final answer
    x = 10,459.10

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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.