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Finding the Fourth Proportional to 21,104.12, 31,657.85 and 7,064.23

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Solution

The fourth proportional to 21,104.12, 31,657.85 and 7,064.23 is: 10,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,104.12 : 31,657.85 = 7,064.23 : x
  2. Step 2: Convert to fraction form
    21,104.12/31,657.85 = 7,064.23/x
  3. Step 3: Cross multiply
    21,104.12x = 31,657.85 × 7,064.23
  4. Step 4: Simplify right side
    21,104.12x = 223,638,140.10
  5. Step 5: Solve for x
    x = 223,638,140.10/21,104.12
  6. Step 6: Final answer
    x = 10,596.89

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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.