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Finding the Fourth Proportional to 15,514.42, 21,409.95 and 8,440.84

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Solution

The fourth proportional to 15,514.42, 21,409.95 and 8,440.84 is: 11,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,514.42 : 21,409.95 = 8,440.84 : x
  2. Step 2: Convert to fraction form
    15,514.42/21,409.95 = 8,440.84/x
  3. Step 3: Cross multiply
    15,514.42x = 21,409.95 × 8,440.84
  4. Step 4: Simplify right side
    15,514.42x = 180,717,962.36
  5. Step 5: Solve for x
    x = 180,717,962.36/15,514.42
  6. Step 6: Final answer
    x = 11,648.39

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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.