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Finding the Fourth Proportional to 19,828.70, 29,743.86 and 5,038

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Solution

The fourth proportional to 19,828.70, 29,743.86 and 5,038 is: 7,557.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.70 : 29,743.86 = 5,038 : x
  2. Step 2: Convert to fraction form
    19,828.70/29,743.86 = 5,038/x
  3. Step 3: Cross multiply
    19,828.70x = 29,743.86 × 5,038
  4. Step 4: Simplify right side
    19,828.70x = 149,849,566.68
  5. Step 5: Solve for x
    x = 149,849,566.68/19,828.70
  6. Step 6: Final answer
    x = 7,557.21

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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.