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Finding the Fourth Proportional to 21,026.56, 31,554.96 and 12,264.16

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Solution

The fourth proportional to 21,026.56, 31,554.96 and 12,264.16 is: 18,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,026.56 : 31,554.96 = 12,264.16 : x
  2. Step 2: Convert to fraction form
    21,026.56/31,554.96 = 12,264.16/x
  3. Step 3: Cross multiply
    21,026.56x = 31,554.96 × 12,264.16
  4. Step 4: Simplify right side
    21,026.56x = 386,995,078.23
  5. Step 5: Solve for x
    x = 386,995,078.23/21,026.56
  6. Step 6: Final answer
    x = 18,405.06

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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.