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Finding the Fourth Proportional to 12,603.84, 17,393.13 and 7,014.84

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Solution

The fourth proportional to 12,603.84, 17,393.13 and 7,014.84 is: 9,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,603.84 : 17,393.13 = 7,014.84 : x
  2. Step 2: Convert to fraction form
    12,603.84/17,393.13 = 7,014.84/x
  3. Step 3: Cross multiply
    12,603.84x = 17,393.13 × 7,014.84
  4. Step 4: Simplify right side
    12,603.84x = 122,010,024.05
  5. Step 5: Solve for x
    x = 122,010,024.05/12,603.84
  6. Step 6: Final answer
    x = 9,680.39

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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.