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Finding the Fourth Proportional to 14,283, 19,710.54 and 8,694

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Solution

The fourth proportional to 14,283, 19,710.54 and 8,694 is: 11,997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,283 : 19,710.54 = 8,694 : x
  2. Step 2: Convert to fraction form
    14,283/19,710.54 = 8,694/x
  3. Step 3: Cross multiply
    14,283x = 19,710.54 × 8,694
  4. Step 4: Simplify right side
    14,283x = 171,363,434.76
  5. Step 5: Solve for x
    x = 171,363,434.76/14,283
  6. Step 6: Final answer
    x = 11,997.72

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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.