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Finding the Fourth Proportional to 15,586.39, 21,509.19 and 8,512.81

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Solution

The fourth proportional to 15,586.39, 21,509.19 and 8,512.81 is: 11,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586.39 : 21,509.19 = 8,512.81 : x
  2. Step 2: Convert to fraction form
    15,586.39/21,509.19 = 8,512.81/x
  3. Step 3: Cross multiply
    15,586.39x = 21,509.19 × 8,512.81
  4. Step 4: Simplify right side
    15,586.39x = 183,103,647.72
  5. Step 5: Solve for x
    x = 183,103,647.72/15,586.39
  6. Step 6: Final answer
    x = 11,747.66

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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.