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Finding the Fourth Proportional to 17,099.70, 23,596.38 and 10,024.75

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Solution

The fourth proportional to 17,099.70, 23,596.38 and 10,024.75 is: 13,833.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,099.70 : 23,596.38 = 10,024.75 : x
  2. Step 2: Convert to fraction form
    17,099.70/23,596.38 = 10,024.75/x
  3. Step 3: Cross multiply
    17,099.70x = 23,596.38 × 10,024.75
  4. Step 4: Simplify right side
    17,099.70x = 236,547,810.41
  5. Step 5: Solve for x
    x = 236,547,810.41/17,099.70
  6. Step 6: Final answer
    x = 13,833.45

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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.