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Finding the Fourth Proportional to 18,430, 25,433.40 and 10,046.56

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Solution

The fourth proportional to 18,430, 25,433.40 and 10,046.56 is: 13,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,430 : 25,433.40 = 10,046.56 : x
  2. Step 2: Convert to fraction form
    18,430/25,433.40 = 10,046.56/x
  3. Step 3: Cross multiply
    18,430x = 25,433.40 × 10,046.56
  4. Step 4: Simplify right side
    18,430x = 255,518,179.10
  5. Step 5: Solve for x
    x = 255,518,179.10/18,430
  6. Step 6: Final answer
    x = 13,864.25

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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.