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Finding the Fourth Proportional to 17,148.01, 23,659 and 11,177.50

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Solution

The fourth proportional to 17,148.01, 23,659 and 11,177.50 is: 15,421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,148.01 : 23,659 = 11,177.50 : x
  2. Step 2: Convert to fraction form
    17,148.01/23,659 = 11,177.50/x
  3. Step 3: Cross multiply
    17,148.01x = 23,659 × 11,177.50
  4. Step 4: Simplify right side
    17,148.01x = 264,448,472.50
  5. Step 5: Solve for x
    x = 264,448,472.50/17,148.01
  6. Step 6: Final answer
    x = 15,421.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.