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Finding the Fourth Proportional to 25,299.09, 34,911 and 13,968.63

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Solution

The fourth proportional to 25,299.09, 34,911 and 13,968.63 is: 19,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,299.09 : 34,911 = 13,968.63 : x
  2. Step 2: Convert to fraction form
    25,299.09/34,911 = 13,968.63/x
  3. Step 3: Cross multiply
    25,299.09x = 34,911 × 13,968.63
  4. Step 4: Simplify right side
    25,299.09x = 487,658,841.93
  5. Step 5: Solve for x
    x = 487,658,841.93/25,299.09
  6. Step 6: Final answer
    x = 19,275.75

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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.