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Finding the Fourth Proportional to 21,085.71, 31,604.54 and 7,042.47

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Solution

The fourth proportional to 21,085.71, 31,604.54 and 7,042.47 is: 10,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,085.71 : 31,604.54 = 7,042.47 : x
  2. Step 2: Convert to fraction form
    21,085.71/31,604.54 = 7,042.47/x
  3. Step 3: Cross multiply
    21,085.71x = 31,604.54 × 7,042.47
  4. Step 4: Simplify right side
    21,085.71x = 222,573,989.60
  5. Step 5: Solve for x
    x = 222,573,989.60/21,085.71
  6. Step 6: Final answer
    x = 10,555.68

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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.