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Finding the Fourth Proportional to 22,968.63, 31,691.29 and 13,032.63

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Solution

The fourth proportional to 22,968.63, 31,691.29 and 13,032.63 is: 17,981.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,968.63 : 31,691.29 = 13,032.63 : x
  2. Step 2: Convert to fraction form
    22,968.63/31,691.29 = 13,032.63/x
  3. Step 3: Cross multiply
    22,968.63x = 31,691.29 × 13,032.63
  4. Step 4: Simplify right side
    22,968.63x = 413,020,856.79
  5. Step 5: Solve for x
    x = 413,020,856.79/22,968.63
  6. Step 6: Final answer
    x = 17,981.95

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1.5x scale

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.