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Finding the Fourth Proportional to 25,608, 35,339.04 and 13,832

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Solution

The fourth proportional to 25,608, 35,339.04 and 13,832 is: 19,088.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,608 : 35,339.04 = 13,832 : x
  2. Step 2: Convert to fraction form
    25,608/35,339.04 = 13,832/x
  3. Step 3: Cross multiply
    25,608x = 35,339.04 × 13,832
  4. Step 4: Simplify right side
    25,608x = 488,809,601.28
  5. Step 5: Solve for x
    x = 488,809,601.28/25,608
  6. Step 6: Final answer
    x = 19,088.16

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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.