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Finding the Fourth Proportional to 21,873.45, 32,815.35 and 7,082.34

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Solution

The fourth proportional to 21,873.45, 32,815.35 and 7,082.34 is: 10,625.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,873.45 : 32,815.35 = 7,082.34 : x
  2. Step 2: Convert to fraction form
    21,873.45/32,815.35 = 7,082.34/x
  3. Step 3: Cross multiply
    21,873.45x = 32,815.35 × 7,082.34
  4. Step 4: Simplify right side
    21,873.45x = 232,409,465.92
  5. Step 5: Solve for x
    x = 232,409,465.92/21,873.45
  6. Step 6: Final answer
    x = 10,625.19

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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.