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Finding the Fourth Proportional to 15,416.58, 23,125 and 12,147.14

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Solution

The fourth proportional to 15,416.58, 23,125 and 12,147.14 is: 18,220.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,416.58 : 23,125 = 12,147.14 : x
  2. Step 2: Convert to fraction form
    15,416.58/23,125 = 12,147.14/x
  3. Step 3: Cross multiply
    15,416.58x = 23,125 × 12,147.14
  4. Step 4: Simplify right side
    15,416.58x = 280,902,612.50
  5. Step 5: Solve for x
    x = 280,902,612.50/15,416.58
  6. Step 6: Final answer
    x = 18,220.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.