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Finding the Fourth Proportional to 21,030.91, 31,537.15 and 7,874.06

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Solution

The fourth proportional to 21,030.91, 31,537.15 and 7,874.06 is: 11,807.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,030.91 : 31,537.15 = 7,874.06 : x
  2. Step 2: Convert to fraction form
    21,030.91/31,537.15 = 7,874.06/x
  3. Step 3: Cross multiply
    21,030.91x = 31,537.15 × 7,874.06
  4. Step 4: Simplify right side
    21,030.91x = 248,325,233.96
  5. Step 5: Solve for x
    x = 248,325,233.96/21,030.91
  6. Step 6: Final answer
    x = 11,807.63

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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.