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Finding the Fourth Proportional to 25,182.50, 34,751.14 and 13,851.98

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Solution

The fourth proportional to 25,182.50, 34,751.14 and 13,851.98 is: 19,115.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,182.50 : 34,751.14 = 13,851.98 : x
  2. Step 2: Convert to fraction form
    25,182.50/34,751.14 = 13,851.98/x
  3. Step 3: Cross multiply
    25,182.50x = 34,751.14 × 13,851.98
  4. Step 4: Simplify right side
    25,182.50x = 481,372,018.19
  5. Step 5: Solve for x
    x = 481,372,018.19/25,182.50
  6. Step 6: Final answer
    x = 19,115.34

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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.