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Finding the Fourth Proportional to 19,428.54, 29,139.72 and 6,946.24

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Solution

The fourth proportional to 19,428.54, 29,139.72 and 6,946.24 is: 10,418.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,428.54 : 29,139.72 = 6,946.24 : x
  2. Step 2: Convert to fraction form
    19,428.54/29,139.72 = 6,946.24/x
  3. Step 3: Cross multiply
    19,428.54x = 29,139.72 × 6,946.24
  4. Step 4: Simplify right side
    19,428.54x = 202,411,488.65
  5. Step 5: Solve for x
    x = 202,411,488.65/19,428.54
  6. Step 6: Final answer
    x = 10,418.26

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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.