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Finding the Fourth Proportional to 15,482.94, 23,201.63 and 6,924.01

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Solution

The fourth proportional to 15,482.94, 23,201.63 and 6,924.01 is: 10,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,482.94 : 23,201.63 = 6,924.01 : x
  2. Step 2: Convert to fraction form
    15,482.94/23,201.63 = 6,924.01/x
  3. Step 3: Cross multiply
    15,482.94x = 23,201.63 × 6,924.01
  4. Step 4: Simplify right side
    15,482.94x = 160,648,318.14
  5. Step 5: Solve for x
    x = 160,648,318.14/15,482.94
  6. Step 6: Final answer
    x = 10,375.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.