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Finding the Fourth Proportional to 25,182.54, 34,751.16 and 13,852.02

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Solution

The fourth proportional to 25,182.54, 34,751.16 and 13,852.02 is: 19,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,182.54 : 34,751.16 = 13,852.02 : x
  2. Step 2: Convert to fraction form
    25,182.54/34,751.16 = 13,852.02/x
  3. Step 3: Cross multiply
    25,182.54x = 34,751.16 × 13,852.02
  4. Step 4: Simplify right side
    25,182.54x = 481,373,763.34
  5. Step 5: Solve for x
    x = 481,373,763.34/25,182.54
  6. Step 6: Final answer
    x = 19,115.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.