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Finding the Fourth Proportional to 21,055.59, 31,583.39 and 7,204.59

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Solution

The fourth proportional to 21,055.59, 31,583.39 and 7,204.59 is: 10,806.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,055.59 : 31,583.39 = 7,204.59 : x
  2. Step 2: Convert to fraction form
    21,055.59/31,583.39 = 7,204.59/x
  3. Step 3: Cross multiply
    21,055.59x = 31,583.39 × 7,204.59
  4. Step 4: Simplify right side
    21,055.59x = 227,545,339.74
  5. Step 5: Solve for x
    x = 227,545,339.74/21,055.59
  6. Step 6: Final answer
    x = 10,806.89

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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.