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Finding the Fourth Proportional to 19,054, 28,581.81 and 5,203

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Solution

The fourth proportional to 19,054, 28,581.81 and 5,203 is: 7,804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,054 : 28,581.81 = 5,203 : x
  2. Step 2: Convert to fraction form
    19,054/28,581.81 = 5,203/x
  3. Step 3: Cross multiply
    19,054x = 28,581.81 × 5,203
  4. Step 4: Simplify right side
    19,054x = 148,711,157.43
  5. Step 5: Solve for x
    x = 148,711,157.43/19,054
  6. Step 6: Final answer
    x = 7,804.72

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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.