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Finding the Fourth Proportional to 22,954.66, 31,680.74 and 12,748.02

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Solution

The fourth proportional to 22,954.66, 31,680.74 and 12,748.02 is: 17,594.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,954.66 : 31,680.74 = 12,748.02 : x
  2. Step 2: Convert to fraction form
    22,954.66/31,680.74 = 12,748.02/x
  3. Step 3: Cross multiply
    22,954.66x = 31,680.74 × 12,748.02
  4. Step 4: Simplify right side
    22,954.66x = 403,866,707.13
  5. Step 5: Solve for x
    x = 403,866,707.13/22,954.66
  6. Step 6: Final answer
    x = 17,594.11

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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.