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Finding the Fourth Proportional to 20,521.84, 30,782.30 and 5,730.42

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Solution

The fourth proportional to 20,521.84, 30,782.30 and 5,730.42 is: 8,595.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,521.84 : 30,782.30 = 5,730.42 : x
  2. Step 2: Convert to fraction form
    20,521.84/30,782.30 = 5,730.42/x
  3. Step 3: Cross multiply
    20,521.84x = 30,782.30 × 5,730.42
  4. Step 4: Simplify right side
    20,521.84x = 176,395,507.57
  5. Step 5: Solve for x
    x = 176,395,507.57/20,521.84
  6. Step 6: Final answer
    x = 8,595.50

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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.