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Finding the Fourth Proportional to 21,384.87, 32,082.11 and 7,533.99

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Solution

The fourth proportional to 21,384.87, 32,082.11 and 7,533.99 is: 11,302.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384.87 : 32,082.11 = 7,533.99 : x
  2. Step 2: Convert to fraction form
    21,384.87/32,082.11 = 7,533.99/x
  3. Step 3: Cross multiply
    21,384.87x = 32,082.11 × 7,533.99
  4. Step 4: Simplify right side
    21,384.87x = 241,706,258.25
  5. Step 5: Solve for x
    x = 241,706,258.25/21,384.87
  6. Step 6: Final answer
    x = 11,302.68

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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.