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Finding the Fourth Proportional to 16,894.91, 25,307.78 and 9,483.82

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Solution

The fourth proportional to 16,894.91, 25,307.78 and 9,483.82 is: 14,206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,894.91 : 25,307.78 = 9,483.82 : x
  2. Step 2: Convert to fraction form
    16,894.91/25,307.78 = 9,483.82/x
  3. Step 3: Cross multiply
    16,894.91x = 25,307.78 × 9,483.82
  4. Step 4: Simplify right side
    16,894.91x = 240,014,319.43
  5. Step 5: Solve for x
    x = 240,014,319.43/16,894.91
  6. Step 6: Final answer
    x = 14,206.31

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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.