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Finding the Fourth Proportional to 17,138.24, 25,703.52 and 4,827.20

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Solution

The fourth proportional to 17,138.24, 25,703.52 and 4,827.20 is: 7,239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.24 : 25,703.52 = 4,827.20 : x
  2. Step 2: Convert to fraction form
    17,138.24/25,703.52 = 4,827.20/x
  3. Step 3: Cross multiply
    17,138.24x = 25,703.52 × 4,827.20
  4. Step 4: Simplify right side
    17,138.24x = 124,076,031.74
  5. Step 5: Solve for x
    x = 124,076,031.74/17,138.24
  6. Step 6: Final answer
    x = 7,239.72

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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.