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Finding the Fourth Proportional to 21,002.59, 31,492.94 and 9,906.29

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Solution

The fourth proportional to 21,002.59, 31,492.94 and 9,906.29 is: 14,854.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,002.59 : 31,492.94 = 9,906.29 : x
  2. Step 2: Convert to fraction form
    21,002.59/31,492.94 = 9,906.29/x
  3. Step 3: Cross multiply
    21,002.59x = 31,492.94 × 9,906.29
  4. Step 4: Simplify right side
    21,002.59x = 311,978,196.59
  5. Step 5: Solve for x
    x = 311,978,196.59/21,002.59
  6. Step 6: Final answer
    x = 14,854.27

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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.