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Finding the Fourth Proportional to 17,122.23, 23,635.95 and 10,410

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Solution

The fourth proportional to 17,122.23, 23,635.95 and 10,410 is: 14,370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,122.23 : 23,635.95 = 10,410 : x
  2. Step 2: Convert to fraction form
    17,122.23/23,635.95 = 10,410/x
  3. Step 3: Cross multiply
    17,122.23x = 23,635.95 × 10,410
  4. Step 4: Simplify right side
    17,122.23x = 246,050,239.50
  5. Step 5: Solve for x
    x = 246,050,239.50/17,122.23
  6. Step 6: Final answer
    x = 14,370.22

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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.