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Finding the Fourth Proportional to 17,417.34, 24,039.72 and 10,706.58

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Solution

The fourth proportional to 17,417.34, 24,039.72 and 10,706.58 is: 14,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,417.34 : 24,039.72 = 10,706.58 : x
  2. Step 2: Convert to fraction form
    17,417.34/24,039.72 = 10,706.58/x
  3. Step 3: Cross multiply
    17,417.34x = 24,039.72 × 10,706.58
  4. Step 4: Simplify right side
    17,417.34x = 257,383,185.36
  5. Step 5: Solve for x
    x = 257,383,185.36/17,417.34
  6. Step 6: Final answer
    x = 14,777.41

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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.