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Finding the Fourth Proportional to 14,284.18, 19,713.26 and 8,235.40

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Solution

The fourth proportional to 14,284.18, 19,713.26 and 8,235.40 is: 11,365.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.18 : 19,713.26 = 8,235.40 : x
  2. Step 2: Convert to fraction form
    14,284.18/19,713.26 = 8,235.40/x
  3. Step 3: Cross multiply
    14,284.18x = 19,713.26 × 8,235.40
  4. Step 4: Simplify right side
    14,284.18x = 162,346,540.23
  5. Step 5: Solve for x
    x = 162,346,540.23/14,284.18
  6. Step 6: Final answer
    x = 11,365.48

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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.