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Finding the Fourth Proportional to 15,642.63, 21,586.90 and 8,569.04

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Solution

The fourth proportional to 15,642.63, 21,586.90 and 8,569.04 is: 11,825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.63 : 21,586.90 = 8,569.04 : x
  2. Step 2: Convert to fraction form
    15,642.63/21,586.90 = 8,569.04/x
  3. Step 3: Cross multiply
    15,642.63x = 21,586.90 × 8,569.04
  4. Step 4: Simplify right side
    15,642.63x = 184,978,880.22
  5. Step 5: Solve for x
    x = 184,978,880.22/15,642.63
  6. Step 6: Final answer
    x = 11,825.31

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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.