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Finding the Fourth Proportional to 13,923.02, 19,210.46 and 7,873.38

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Solution

The fourth proportional to 13,923.02, 19,210.46 and 7,873.38 is: 10,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.02 : 19,210.46 = 7,873.38 : x
  2. Step 2: Convert to fraction form
    13,923.02/19,210.46 = 7,873.38/x
  3. Step 3: Cross multiply
    13,923.02x = 19,210.46 × 7,873.38
  4. Step 4: Simplify right side
    13,923.02x = 151,251,212.19
  5. Step 5: Solve for x
    x = 151,251,212.19/13,923.02
  6. Step 6: Final answer
    x = 10,863.40

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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.