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Finding the Fourth Proportional to 16,987.86, 25,483.05 and 5,301

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Solution

The fourth proportional to 16,987.86, 25,483.05 and 5,301 is: 7,951.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,987.86 : 25,483.05 = 5,301 : x
  2. Step 2: Convert to fraction form
    16,987.86/25,483.05 = 5,301/x
  3. Step 3: Cross multiply
    16,987.86x = 25,483.05 × 5,301
  4. Step 4: Simplify right side
    16,987.86x = 135,085,648.05
  5. Step 5: Solve for x
    x = 135,085,648.05/16,987.86
  6. Step 6: Final answer
    x = 7,951.89

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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.