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Finding the Fourth Proportional to 27,416.26, 37,835.16 and 15,479.70

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Solution

The fourth proportional to 27,416.26, 37,835.16 and 15,479.70 is: 21,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416.26 : 37,835.16 = 15,479.70 : x
  2. Step 2: Convert to fraction form
    27,416.26/37,835.16 = 15,479.70/x
  3. Step 3: Cross multiply
    27,416.26x = 37,835.16 × 15,479.70
  4. Step 4: Simplify right side
    27,416.26x = 585,676,926.25
  5. Step 5: Solve for x
    x = 585,676,926.25/27,416.26
  6. Step 6: Final answer
    x = 21,362.39

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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.