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Finding the Fourth Proportional to 21,012.18, 31,523.12 and 6,971.16

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Solution

The fourth proportional to 21,012.18, 31,523.12 and 6,971.16 is: 10,458.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012.18 : 31,523.12 = 6,971.16 : x
  2. Step 2: Convert to fraction form
    21,012.18/31,523.12 = 6,971.16/x
  3. Step 3: Cross multiply
    21,012.18x = 31,523.12 × 6,971.16
  4. Step 4: Simplify right side
    21,012.18x = 219,752,713.22
  5. Step 5: Solve for x
    x = 219,752,713.22/21,012.18
  6. Step 6: Final answer
    x = 10,458.35

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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.