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Finding the Fourth Proportional to 19,594.84, 29,396.52 and 6,446.56

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Solution

The fourth proportional to 19,594.84, 29,396.52 and 6,446.56 is: 9,671.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,594.84 : 29,396.52 = 6,446.56 : x
  2. Step 2: Convert to fraction form
    19,594.84/29,396.52 = 6,446.56/x
  3. Step 3: Cross multiply
    19,594.84x = 29,396.52 × 6,446.56
  4. Step 4: Simplify right side
    19,594.84x = 189,506,429.97
  5. Step 5: Solve for x
    x = 189,506,429.97/19,594.84
  6. Step 6: Final answer
    x = 9,671.24

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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.