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Finding the Fourth Proportional to 21,313.62, 31,965.30 and 6,522.68

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Solution

The fourth proportional to 21,313.62, 31,965.30 and 6,522.68 is: 9,782.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,313.62 : 31,965.30 = 6,522.68 : x
  2. Step 2: Convert to fraction form
    21,313.62/31,965.30 = 6,522.68/x
  3. Step 3: Cross multiply
    21,313.62x = 31,965.30 × 6,522.68
  4. Step 4: Simplify right side
    21,313.62x = 208,499,423.00
  5. Step 5: Solve for x
    x = 208,499,423.00/21,313.62
  6. Step 6: Final answer
    x = 9,782.45

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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.