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Finding the Fourth Proportional to 21,314.58, 31,970.70 and 6,523.49

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Solution

The fourth proportional to 21,314.58, 31,970.70 and 6,523.49 is: 9,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314.58 : 31,970.70 = 6,523.49 : x
  2. Step 2: Convert to fraction form
    21,314.58/31,970.70 = 6,523.49/x
  3. Step 3: Cross multiply
    21,314.58x = 31,970.70 × 6,523.49
  4. Step 4: Simplify right side
    21,314.58x = 208,560,381.89
  5. Step 5: Solve for x
    x = 208,560,381.89/21,314.58
  6. Step 6: Final answer
    x = 9,784.87

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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.