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Finding the Fourth Proportional to 17,254, 23,800.80 and 11,284.30

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Solution

The fourth proportional to 17,254, 23,800.80 and 11,284.30 is: 15,565.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,254 : 23,800.80 = 11,284.30 : x
  2. Step 2: Convert to fraction form
    17,254/23,800.80 = 11,284.30/x
  3. Step 3: Cross multiply
    17,254x = 23,800.80 × 11,284.30
  4. Step 4: Simplify right side
    17,254x = 268,575,367.44
  5. Step 5: Solve for x
    x = 268,575,367.44/17,254
  6. Step 6: Final answer
    x = 15,565.98

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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.