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Finding the Fourth Proportional to 12,335.07, 17,023.02 and 7,302.18

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Solution

The fourth proportional to 12,335.07, 17,023.02 and 7,302.18 is: 10,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,335.07 : 17,023.02 = 7,302.18 : x
  2. Step 2: Convert to fraction form
    12,335.07/17,023.02 = 7,302.18/x
  3. Step 3: Cross multiply
    12,335.07x = 17,023.02 × 7,302.18
  4. Step 4: Simplify right side
    12,335.07x = 124,305,156.18
  5. Step 5: Solve for x
    x = 124,305,156.18/12,335.07
  6. Step 6: Final answer
    x = 10,077.38

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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.