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Finding the Fourth Proportional to 21,053.72, 31,576.23 and 7,905.80

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Solution

The fourth proportional to 21,053.72, 31,576.23 and 7,905.80 is: 11,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,053.72 : 31,576.23 = 7,905.80 : x
  2. Step 2: Convert to fraction form
    21,053.72/31,576.23 = 7,905.80/x
  3. Step 3: Cross multiply
    21,053.72x = 31,576.23 × 7,905.80
  4. Step 4: Simplify right side
    21,053.72x = 249,635,359.13
  5. Step 5: Solve for x
    x = 249,635,359.13/21,053.72
  6. Step 6: Final answer
    x = 11,857.07

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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.