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Finding the Fourth Proportional to 21,053.66, 31,583.82 and 7,907.03

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Solution

The fourth proportional to 21,053.66, 31,583.82 and 7,907.03 is: 11,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,053.66 : 31,583.82 = 7,907.03 : x
  2. Step 2: Convert to fraction form
    21,053.66/31,583.82 = 7,907.03/x
  3. Step 3: Cross multiply
    21,053.66x = 31,583.82 × 7,907.03
  4. Step 4: Simplify right side
    21,053.66x = 249,734,212.25
  5. Step 5: Solve for x
    x = 249,734,212.25/21,053.66
  6. Step 6: Final answer
    x = 11,861.80

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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.