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Finding the Fourth Proportional to 14,297.97, 19,724.56 and 9,263.91

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Solution

The fourth proportional to 14,297.97, 19,724.56 and 9,263.91 is: 12,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.97 : 19,724.56 = 9,263.91 : x
  2. Step 2: Convert to fraction form
    14,297.97/19,724.56 = 9,263.91/x
  3. Step 3: Cross multiply
    14,297.97x = 19,724.56 × 9,263.91
  4. Step 4: Simplify right side
    14,297.97x = 182,726,548.63
  5. Step 5: Solve for x
    x = 182,726,548.63/14,297.97
  6. Step 6: Final answer
    x = 12,779.89

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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.