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Finding the Fourth Proportional to 14,141.25, 19,514.93 and 7,854.21

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Solution

The fourth proportional to 14,141.25, 19,514.93 and 7,854.21 is: 10,838.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.25 : 19,514.93 = 7,854.21 : x
  2. Step 2: Convert to fraction form
    14,141.25/19,514.93 = 7,854.21/x
  3. Step 3: Cross multiply
    14,141.25x = 19,514.93 × 7,854.21
  4. Step 4: Simplify right side
    14,141.25x = 153,274,319.08
  5. Step 5: Solve for x
    x = 153,274,319.08/14,141.25
  6. Step 6: Final answer
    x = 10,838.81

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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.