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Finding the Fourth Proportional to 25,751.52, 35,542.32 and 14,577.12

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Solution

The fourth proportional to 25,751.52, 35,542.32 and 14,577.12 is: 20,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,751.52 : 35,542.32 = 14,577.12 : x
  2. Step 2: Convert to fraction form
    25,751.52/35,542.32 = 14,577.12/x
  3. Step 3: Cross multiply
    25,751.52x = 35,542.32 × 14,577.12
  4. Step 4: Simplify right side
    25,751.52x = 518,104,663.72
  5. Step 5: Solve for x
    x = 518,104,663.72/25,751.52
  6. Step 6: Final answer
    x = 20,119.38

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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.