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Finding the Fourth Proportional to 21,002.56, 31,511.48 and 9,763.08

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Solution

The fourth proportional to 21,002.56, 31,511.48 and 9,763.08 is: 14,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.56 : 31,511.48 = 9,763.08 : x
  2. Step 2: Convert to fraction form
    21,002.56/31,511.48 = 9,763.08/x
  3. Step 3: Cross multiply
    21,002.56x = 31,511.48 × 9,763.08
  4. Step 4: Simplify right side
    21,002.56x = 307,649,100.16
  5. Step 5: Solve for x
    x = 307,649,100.16/21,002.56
  6. Step 6: Final answer
    x = 14,648.17

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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.