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Finding the Fourth Proportional to 14,141.01, 19,514.06 and 7,853.79

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Solution

The fourth proportional to 14,141.01, 19,514.06 and 7,853.79 is: 10,837.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.01 : 19,514.06 = 7,853.79 : x
  2. Step 2: Convert to fraction form
    14,141.01/19,514.06 = 7,853.79/x
  3. Step 3: Cross multiply
    14,141.01x = 19,514.06 × 7,853.79
  4. Step 4: Simplify right side
    14,141.01x = 153,259,436.83
  5. Step 5: Solve for x
    x = 153,259,436.83/14,141.01
  6. Step 6: Final answer
    x = 10,837.94

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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.