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Finding the Fourth Proportional to 18,259.14, 25,197.63 and 9,875.64

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Solution

The fourth proportional to 18,259.14, 25,197.63 and 9,875.64 is: 13,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,259.14 : 25,197.63 = 9,875.64 : x
  2. Step 2: Convert to fraction form
    18,259.14/25,197.63 = 9,875.64/x
  3. Step 3: Cross multiply
    18,259.14x = 25,197.63 × 9,875.64
  4. Step 4: Simplify right side
    18,259.14x = 248,842,722.73
  5. Step 5: Solve for x
    x = 248,842,722.73/18,259.14
  6. Step 6: Final answer
    x = 13,628.39

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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.