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Finding the Fourth Proportional to 14,141.27, 19,514.41 and 7,854.05

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Solution

The fourth proportional to 14,141.27, 19,514.41 and 7,854.05 is: 10,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.27 : 19,514.41 = 7,854.05 : x
  2. Step 2: Convert to fraction form
    14,141.27/19,514.41 = 7,854.05/x
  3. Step 3: Cross multiply
    14,141.27x = 19,514.41 × 7,854.05
  4. Step 4: Simplify right side
    14,141.27x = 153,267,054.29
  5. Step 5: Solve for x
    x = 153,267,054.29/14,141.27
  6. Step 6: Final answer
    x = 10,838.28

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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.