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Finding the Fourth Proportional to 15,590.47, 21,514.84 and 8,420.38

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Solution

The fourth proportional to 15,590.47, 21,514.84 and 8,420.38 is: 11,620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,590.47 : 21,514.84 = 8,420.38 : x
  2. Step 2: Convert to fraction form
    15,590.47/21,514.84 = 8,420.38/x
  3. Step 3: Cross multiply
    15,590.47x = 21,514.84 × 8,420.38
  4. Step 4: Simplify right side
    15,590.47x = 181,163,128.44
  5. Step 5: Solve for x
    x = 181,163,128.44/15,590.47
  6. Step 6: Final answer
    x = 11,620.12

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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.