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Finding the Fourth Proportional to 18,643, 25,727.52 and 10,259.68

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Solution

The fourth proportional to 18,643, 25,727.52 and 10,259.68 is: 14,158.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,643 : 25,727.52 = 10,259.68 : x
  2. Step 2: Convert to fraction form
    18,643/25,727.52 = 10,259.68/x
  3. Step 3: Cross multiply
    18,643x = 25,727.52 × 10,259.68
  4. Step 4: Simplify right side
    18,643x = 263,956,122.39
  5. Step 5: Solve for x
    x = 263,956,122.39/18,643
  6. Step 6: Final answer
    x = 14,158.46

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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.