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Finding the Fourth Proportional to 21,311.09, 31,965.48 and 6,520.01

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Solution

The fourth proportional to 21,311.09, 31,965.48 and 6,520.01 is: 9,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,311.09 : 31,965.48 = 6,520.01 : x
  2. Step 2: Convert to fraction form
    21,311.09/31,965.48 = 6,520.01/x
  3. Step 3: Cross multiply
    21,311.09x = 31,965.48 × 6,520.01
  4. Step 4: Simplify right side
    21,311.09x = 208,415,329.17
  5. Step 5: Solve for x
    x = 208,415,329.17/21,311.09
  6. Step 6: Final answer
    x = 9,779.66

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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.