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Finding the Fourth Proportional to 21,089.64, 31,636.92 and 9,401.40

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Solution

The fourth proportional to 21,089.64, 31,636.92 and 9,401.40 is: 14,103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,089.64 : 31,636.92 = 9,401.40 : x
  2. Step 2: Convert to fraction form
    21,089.64/31,636.92 = 9,401.40/x
  3. Step 3: Cross multiply
    21,089.64x = 31,636.92 × 9,401.40
  4. Step 4: Simplify right side
    21,089.64x = 297,431,339.69
  5. Step 5: Solve for x
    x = 297,431,339.69/21,089.64
  6. Step 6: Final answer
    x = 14,103.20

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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.