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Finding the Fourth Proportional to 21,020.94, 31,534.29 and 9,333.90

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Solution

The fourth proportional to 21,020.94, 31,534.29 and 9,333.90 is: 14,002.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,020.94 : 31,534.29 = 9,333.90 : x
  2. Step 2: Convert to fraction form
    21,020.94/31,534.29 = 9,333.90/x
  3. Step 3: Cross multiply
    21,020.94x = 31,534.29 × 9,333.90
  4. Step 4: Simplify right side
    21,020.94x = 294,337,909.43
  5. Step 5: Solve for x
    x = 294,337,909.43/21,020.94
  6. Step 6: Final answer
    x = 14,002.13

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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.