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Finding the Fourth Proportional to 19,670, 29,510.76 and 5,819.36

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Solution

The fourth proportional to 19,670, 29,510.76 and 5,819.36 is: 8,730.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,670 : 29,510.76 = 5,819.36 : x
  2. Step 2: Convert to fraction form
    19,670/29,510.76 = 5,819.36/x
  3. Step 3: Cross multiply
    19,670x = 29,510.76 × 5,819.36
  4. Step 4: Simplify right side
    19,670x = 171,733,736.31
  5. Step 5: Solve for x
    x = 171,733,736.31/19,670
  6. Step 6: Final answer
    x = 8,730.74

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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.