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Finding the Fourth Proportional to 16,904, 25,359.36 and 5,216.72

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Solution

The fourth proportional to 16,904, 25,359.36 and 5,216.72 is: 7,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,904 : 25,359.36 = 5,216.72 : x
  2. Step 2: Convert to fraction form
    16,904/25,359.36 = 5,216.72/x
  3. Step 3: Cross multiply
    16,904x = 25,359.36 × 5,216.72
  4. Step 4: Simplify right side
    16,904x = 132,292,680.50
  5. Step 5: Solve for x
    x = 132,292,680.50/16,904
  6. Step 6: Final answer
    x = 7,826.12

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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.