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Finding the Fourth Proportional to 12,342.88, 17,032.74 and 7,039.39

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Solution

The fourth proportional to 12,342.88, 17,032.74 and 7,039.39 is: 9,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.88 : 17,032.74 = 7,039.39 : x
  2. Step 2: Convert to fraction form
    12,342.88/17,032.74 = 7,039.39/x
  3. Step 3: Cross multiply
    12,342.88x = 17,032.74 × 7,039.39
  4. Step 4: Simplify right side
    12,342.88x = 119,900,099.63
  5. Step 5: Solve for x
    x = 119,900,099.63/12,342.88
  6. Step 6: Final answer
    x = 9,714.11

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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.