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Finding the Fourth Proportional to 21,102.24, 31,653.12 and 8,790.24

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Solution

The fourth proportional to 21,102.24, 31,653.12 and 8,790.24 is: 13,185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.24 : 31,653.12 = 8,790.24 : x
  2. Step 2: Convert to fraction form
    21,102.24/31,653.12 = 8,790.24/x
  3. Step 3: Cross multiply
    21,102.24x = 31,653.12 × 8,790.24
  4. Step 4: Simplify right side
    21,102.24x = 278,238,521.55
  5. Step 5: Solve for x
    x = 278,238,521.55/21,102.24
  6. Step 6: Final answer
    x = 13,185.26

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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.