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Finding the Fourth Proportional to 19,541.40, 29,305.98 and 7,059.78

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Solution

The fourth proportional to 19,541.40, 29,305.98 and 7,059.78 is: 10,587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,541.40 : 29,305.98 = 7,059.78 : x
  2. Step 2: Convert to fraction form
    19,541.40/29,305.98 = 7,059.78/x
  3. Step 3: Cross multiply
    19,541.40x = 29,305.98 × 7,059.78
  4. Step 4: Simplify right side
    19,541.40x = 206,893,771.48
  5. Step 5: Solve for x
    x = 206,893,771.48/19,541.40
  6. Step 6: Final answer
    x = 10,587.46

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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.