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Finding the Fourth Proportional to 15,582.29, 21,504.44 and 8,509.37

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Solution

The fourth proportional to 15,582.29, 21,504.44 and 8,509.37 is: 11,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.29 : 21,504.44 = 8,509.37 : x
  2. Step 2: Convert to fraction form
    15,582.29/21,504.44 = 8,509.37/x
  3. Step 3: Cross multiply
    15,582.29x = 21,504.44 × 8,509.37
  4. Step 4: Simplify right side
    15,582.29x = 182,989,194.06
  5. Step 5: Solve for x
    x = 182,989,194.06/15,582.29
  6. Step 6: Final answer
    x = 11,743.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.