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Finding the Fourth Proportional to 18,084.32, 24,956.55 and 10,018.22

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Solution

The fourth proportional to 18,084.32, 24,956.55 and 10,018.22 is: 13,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,084.32 : 24,956.55 = 10,018.22 : x
  2. Step 2: Convert to fraction form
    18,084.32/24,956.55 = 10,018.22/x
  3. Step 3: Cross multiply
    18,084.32x = 24,956.55 × 10,018.22
  4. Step 4: Simplify right side
    18,084.32x = 250,020,055.38
  5. Step 5: Solve for x
    x = 250,020,055.38/18,084.32
  6. Step 6: Final answer
    x = 13,825.24

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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.