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Finding the Fourth Proportional to 65,514, 98,271.64 and 16,266

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Solution

The fourth proportional to 65,514, 98,271.64 and 16,266 is: 24,399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,514 : 98,271.64 = 16,266 : x
  2. Step 2: Convert to fraction form
    65,514/98,271.64 = 16,266/x
  3. Step 3: Cross multiply
    65,514x = 98,271.64 × 16,266
  4. Step 4: Simplify right side
    65,514x = 1,598,486,496.24
  5. Step 5: Solve for x
    x = 1,598,486,496.24/65,514
  6. Step 6: Final answer
    x = 24,399.16

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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.