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Finding the Fourth Proportional to 21,314.88, 31,970.97 and 6,522.39

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Solution

The fourth proportional to 21,314.88, 31,970.97 and 6,522.39 is: 9,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314.88 : 31,970.97 = 6,522.39 : x
  2. Step 2: Convert to fraction form
    21,314.88/31,970.97 = 6,522.39/x
  3. Step 3: Cross multiply
    21,314.88x = 31,970.97 × 6,522.39
  4. Step 4: Simplify right side
    21,314.88x = 208,527,135.02
  5. Step 5: Solve for x
    x = 208,527,135.02/21,314.88
  6. Step 6: Final answer
    x = 9,783.17

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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.