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Finding the Fourth Proportional to 22,970.96, 31,695.96 and 13,541.36

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Solution

The fourth proportional to 22,970.96, 31,695.96 and 13,541.36 is: 18,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.96 : 31,695.96 = 13,541.36 : x
  2. Step 2: Convert to fraction form
    22,970.96/31,695.96 = 13,541.36/x
  3. Step 3: Cross multiply
    22,970.96x = 31,695.96 × 13,541.36
  4. Step 4: Simplify right side
    22,970.96x = 429,206,404.91
  5. Step 5: Solve for x
    x = 429,206,404.91/22,970.96
  6. Step 6: Final answer
    x = 18,684.74

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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.