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Finding the Fourth Proportional to 19,467.84, 29,205.36 and 6,319.20

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Solution

The fourth proportional to 19,467.84, 29,205.36 and 6,319.20 is: 9,479.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,467.84 : 29,205.36 = 6,319.20 : x
  2. Step 2: Convert to fraction form
    19,467.84/29,205.36 = 6,319.20/x
  3. Step 3: Cross multiply
    19,467.84x = 29,205.36 × 6,319.20
  4. Step 4: Simplify right side
    19,467.84x = 184,554,510.91
  5. Step 5: Solve for x
    x = 184,554,510.91/19,467.84
  6. Step 6: Final answer
    x = 9,479.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.