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Finding the Fourth Proportional to 16,143.60, 24,200.82 and 14,394

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Solution

The fourth proportional to 16,143.60, 24,200.82 and 14,394 is: 21,578.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.60 : 24,200.82 = 14,394 : x
  2. Step 2: Convert to fraction form
    16,143.60/24,200.82 = 14,394/x
  3. Step 3: Cross multiply
    16,143.60x = 24,200.82 × 14,394
  4. Step 4: Simplify right side
    16,143.60x = 348,346,603.08
  5. Step 5: Solve for x
    x = 348,346,603.08/16,143.60
  6. Step 6: Final answer
    x = 21,578.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.