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Finding the Fourth Proportional to 12,340.91, 17,026.01 and 7,032.66

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Solution

The fourth proportional to 12,340.91, 17,026.01 and 7,032.66 is: 9,702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.91 : 17,026.01 = 7,032.66 : x
  2. Step 2: Convert to fraction form
    12,340.91/17,026.01 = 7,032.66/x
  3. Step 3: Cross multiply
    12,340.91x = 17,026.01 × 7,032.66
  4. Step 4: Simplify right side
    12,340.91x = 119,738,106.41
  5. Step 5: Solve for x
    x = 119,738,106.41/12,340.91
  6. Step 6: Final answer
    x = 9,702.54

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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.