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Finding the Fourth Proportional to 25,971.30, 35,840.31 and 14,034.63

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Solution

The fourth proportional to 25,971.30, 35,840.31 and 14,034.63 is: 19,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,971.30 : 35,840.31 = 14,034.63 : x
  2. Step 2: Convert to fraction form
    25,971.30/35,840.31 = 14,034.63/x
  3. Step 3: Cross multiply
    25,971.30x = 35,840.31 × 14,034.63
  4. Step 4: Simplify right side
    25,971.30x = 503,005,489.94
  5. Step 5: Solve for x
    x = 503,005,489.94/25,971.30
  6. Step 6: Final answer
    x = 19,367.74

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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.