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Finding the Fourth Proportional to 19,541.70, 29,271.06 and 9,020.34

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Solution

The fourth proportional to 19,541.70, 29,271.06 and 9,020.34 is: 13,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,541.70 : 29,271.06 = 9,020.34 : x
  2. Step 2: Convert to fraction form
    19,541.70/29,271.06 = 9,020.34/x
  3. Step 3: Cross multiply
    19,541.70x = 29,271.06 × 9,020.34
  4. Step 4: Simplify right side
    19,541.70x = 264,034,913.36
  5. Step 5: Solve for x
    x = 264,034,913.36/19,541.70
  6. Step 6: Final answer
    x = 13,511.36

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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.