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Finding the Fourth Proportional to 15,582.54, 21,504.36 and 8,509.42

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Solution

The fourth proportional to 15,582.54, 21,504.36 and 8,509.42 is: 11,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,582.54 : 21,504.36 = 8,509.42 : x
  2. Step 2: Convert to fraction form
    15,582.54/21,504.36 = 8,509.42/x
  3. Step 3: Cross multiply
    15,582.54x = 21,504.36 × 8,509.42
  4. Step 4: Simplify right side
    15,582.54x = 182,989,631.07
  5. Step 5: Solve for x
    x = 182,989,631.07/15,582.54
  6. Step 6: Final answer
    x = 11,743.25

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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.