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Finding the Fourth Proportional to 19,510.16, 29,267.19 and 5,470.22

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Solution

The fourth proportional to 19,510.16, 29,267.19 and 5,470.22 is: 8,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,510.16 : 29,267.19 = 5,470.22 : x
  2. Step 2: Convert to fraction form
    19,510.16/29,267.19 = 5,470.22/x
  3. Step 3: Cross multiply
    19,510.16x = 29,267.19 × 5,470.22
  4. Step 4: Simplify right side
    19,510.16x = 160,097,821.75
  5. Step 5: Solve for x
    x = 160,097,821.75/19,510.16
  6. Step 6: Final answer
    x = 8,205.87

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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.