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Finding the Fourth Proportional to 25,249, 34,844.72 and 14,071

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Solution

The fourth proportional to 25,249, 34,844.72 and 14,071 is: 19,418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,249 : 34,844.72 = 14,071 : x
  2. Step 2: Convert to fraction form
    25,249/34,844.72 = 14,071/x
  3. Step 3: Cross multiply
    25,249x = 34,844.72 × 14,071
  4. Step 4: Simplify right side
    25,249x = 490,300,055.12
  5. Step 5: Solve for x
    x = 490,300,055.12/25,249
  6. Step 6: Final answer
    x = 19,418.59

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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.