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Finding the Fourth Proportional to 23,696.84, 32,701.43 and 12,941.66

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Solution

The fourth proportional to 23,696.84, 32,701.43 and 12,941.66 is: 17,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.84 : 32,701.43 = 12,941.66 : x
  2. Step 2: Convert to fraction form
    23,696.84/32,701.43 = 12,941.66/x
  3. Step 3: Cross multiply
    23,696.84x = 32,701.43 × 12,941.66
  4. Step 4: Simplify right side
    23,696.84x = 423,210,788.57
  5. Step 5: Solve for x
    x = 423,210,788.57/23,696.84
  6. Step 6: Final answer
    x = 17,859.38

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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.