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Finding the Fourth Proportional to 16,781.59, 25,168.48 and 7,416.50

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Solution

The fourth proportional to 16,781.59, 25,168.48 and 7,416.50 is: 11,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781.59 : 25,168.48 = 7,416.50 : x
  2. Step 2: Convert to fraction form
    16,781.59/25,168.48 = 7,416.50/x
  3. Step 3: Cross multiply
    16,781.59x = 25,168.48 × 7,416.50
  4. Step 4: Simplify right side
    16,781.59x = 186,662,031.92
  5. Step 5: Solve for x
    x = 186,662,031.92/16,781.59
  6. Step 6: Final answer
    x = 11,123.02

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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.