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Finding the Fourth Proportional to 15,642.47, 21,586.62 and 8,569.14

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Solution

The fourth proportional to 15,642.47, 21,586.62 and 8,569.14 is: 11,825.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.47 : 21,586.62 = 8,569.14 : x
  2. Step 2: Convert to fraction form
    15,642.47/21,586.62 = 8,569.14/x
  3. Step 3: Cross multiply
    15,642.47x = 21,586.62 × 8,569.14
  4. Step 4: Simplify right side
    15,642.47x = 184,978,768.91
  5. Step 5: Solve for x
    x = 184,978,768.91/15,642.47
  6. Step 6: Final answer
    x = 11,825.42

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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.