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Finding the Fourth Proportional to 25,214.72, 34,794.96 and 14,036

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Solution

The fourth proportional to 25,214.72, 34,794.96 and 14,036 is: 19,368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214.72 : 34,794.96 = 14,036 : x
  2. Step 2: Convert to fraction form
    25,214.72/34,794.96 = 14,036/x
  3. Step 3: Cross multiply
    25,214.72x = 34,794.96 × 14,036
  4. Step 4: Simplify right side
    25,214.72x = 488,382,058.56
  5. Step 5: Solve for x
    x = 488,382,058.56/25,214.72
  6. Step 6: Final answer
    x = 19,368.93

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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.