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Finding the Fourth Proportional to 14,766, 20,376.80 and 8,051.68

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Solution

The fourth proportional to 14,766, 20,376.80 and 8,051.68 is: 11,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,766 : 20,376.80 = 8,051.68 : x
  2. Step 2: Convert to fraction form
    14,766/20,376.80 = 8,051.68/x
  3. Step 3: Cross multiply
    14,766x = 20,376.80 × 8,051.68
  4. Step 4: Simplify right side
    14,766x = 164,067,473.02
  5. Step 5: Solve for x
    x = 164,067,473.02/14,766
  6. Step 6: Final answer
    x = 11,111.17

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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.