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Finding the Fourth Proportional to 15,684.65, 21,644.72 and 8,514.71

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Solution

The fourth proportional to 15,684.65, 21,644.72 and 8,514.71 is: 11,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.65 : 21,644.72 = 8,514.71 : x
  2. Step 2: Convert to fraction form
    15,684.65/21,644.72 = 8,514.71/x
  3. Step 3: Cross multiply
    15,684.65x = 21,644.72 × 8,514.71
  4. Step 4: Simplify right side
    15,684.65x = 184,298,513.83
  5. Step 5: Solve for x
    x = 184,298,513.83/15,684.65
  6. Step 6: Final answer
    x = 11,750.25

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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.