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Finding the Fourth Proportional to 15,781.16, 21,777.94 and 8,707.55

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Solution

The fourth proportional to 15,781.16, 21,777.94 and 8,707.55 is: 12,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.16 : 21,777.94 = 8,707.55 : x
  2. Step 2: Convert to fraction form
    15,781.16/21,777.94 = 8,707.55/x
  3. Step 3: Cross multiply
    15,781.16x = 21,777.94 × 8,707.55
  4. Step 4: Simplify right side
    15,781.16x = 189,632,501.45
  5. Step 5: Solve for x
    x = 189,632,501.45/15,781.16
  6. Step 6: Final answer
    x = 12,016.39

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Why These Related Problems?

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