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Finding the Fourth Proportional to 17,865.63, 24,626.16 and 14,082.66

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Solution

The fourth proportional to 17,865.63, 24,626.16 and 14,082.66 is: 19,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865.63 : 24,626.16 = 14,082.66 : x
  2. Step 2: Convert to fraction form
    17,865.63/24,626.16 = 14,082.66/x
  3. Step 3: Cross multiply
    17,865.63x = 24,626.16 × 14,082.66
  4. Step 4: Simplify right side
    17,865.63x = 346,801,838.39
  5. Step 5: Solve for x
    x = 346,801,838.39/17,865.63
  6. Step 6: Final answer
    x = 19,411.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.