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Finding the Fourth Proportional to 15,783.69, 21,781.62 and 8,613.66

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Solution

The fourth proportional to 15,783.69, 21,781.62 and 8,613.66 is: 11,886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.69 : 21,781.62 = 8,613.66 : x
  2. Step 2: Convert to fraction form
    15,783.69/21,781.62 = 8,613.66/x
  3. Step 3: Cross multiply
    15,783.69x = 21,781.62 × 8,613.66
  4. Step 4: Simplify right side
    15,783.69x = 187,619,495.75
  5. Step 5: Solve for x
    x = 187,619,495.75/15,783.69
  6. Step 6: Final answer
    x = 11,886.92

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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.