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Finding the Fourth Proportional to 18,509, 25,542.78 and 10,125.68

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Solution

The fourth proportional to 18,509, 25,542.78 and 10,125.68 is: 13,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509 : 25,542.78 = 10,125.68 : x
  2. Step 2: Convert to fraction form
    18,509/25,542.78 = 10,125.68/x
  3. Step 3: Cross multiply
    18,509x = 25,542.78 × 10,125.68
  4. Step 4: Simplify right side
    18,509x = 258,638,016.59
  5. Step 5: Solve for x
    x = 258,638,016.59/18,509
  6. Step 6: Final answer
    x = 13,973.64

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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.