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Finding the Fourth Proportional to 12,967.23, 17,894.53 and 7,301.95

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Solution

The fourth proportional to 12,967.23, 17,894.53 and 7,301.95 is: 10,076.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.23 : 17,894.53 = 7,301.95 : x
  2. Step 2: Convert to fraction form
    12,967.23/17,894.53 = 7,301.95/x
  3. Step 3: Cross multiply
    12,967.23x = 17,894.53 × 7,301.95
  4. Step 4: Simplify right side
    12,967.23x = 130,664,963.33
  5. Step 5: Solve for x
    x = 130,664,963.33/12,967.23
  6. Step 6: Final answer
    x = 10,076.55

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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.