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Finding the Fourth Proportional to 23,042.22, 31,797.91 and 12,970.63

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Solution

The fourth proportional to 23,042.22, 31,797.91 and 12,970.63 is: 17,899.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,042.22 : 31,797.91 = 12,970.63 : x
  2. Step 2: Convert to fraction form
    23,042.22/31,797.91 = 12,970.63/x
  3. Step 3: Cross multiply
    23,042.22x = 31,797.91 × 12,970.63
  4. Step 4: Simplify right side
    23,042.22x = 412,438,925.38
  5. Step 5: Solve for x
    x = 412,438,925.38/23,042.22
  6. Step 6: Final answer
    x = 17,899.27

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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.