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Finding the Fourth Proportional to 21,296.50, 31,946.40 and 6,505.54

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Solution

The fourth proportional to 21,296.50, 31,946.40 and 6,505.54 is: 9,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,296.50 : 31,946.40 = 6,505.54 : x
  2. Step 2: Convert to fraction form
    21,296.50/31,946.40 = 6,505.54/x
  3. Step 3: Cross multiply
    21,296.50x = 31,946.40 × 6,505.54
  4. Step 4: Simplify right side
    21,296.50x = 207,828,583.06
  5. Step 5: Solve for x
    x = 207,828,583.06/21,296.50
  6. Step 6: Final answer
    x = 9,758.81

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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.