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Finding the Fourth Proportional to 22,894.68, 31,597.84 and 16,541.82

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Solution

The fourth proportional to 22,894.68, 31,597.84 and 16,541.82 is: 22,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894.68 : 31,597.84 = 16,541.82 : x
  2. Step 2: Convert to fraction form
    22,894.68/31,597.84 = 16,541.82/x
  3. Step 3: Cross multiply
    22,894.68x = 31,597.84 × 16,541.82
  4. Step 4: Simplify right side
    22,894.68x = 522,685,781.67
  5. Step 5: Solve for x
    x = 522,685,781.67/22,894.68
  6. Step 6: Final answer
    x = 22,830.01

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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.