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Finding the Fourth Proportional to 19,647.10, 29,477.76 and 12,141.88

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Solution

The fourth proportional to 19,647.10, 29,477.76 and 12,141.88 is: 18,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,647.10 : 29,477.76 = 12,141.88 : x
  2. Step 2: Convert to fraction form
    19,647.10/29,477.76 = 12,141.88/x
  3. Step 3: Cross multiply
    19,647.10x = 29,477.76 × 12,141.88
  4. Step 4: Simplify right side
    19,647.10x = 357,915,216.49
  5. Step 5: Solve for x
    x = 357,915,216.49/19,647.10
  6. Step 6: Final answer
    x = 18,217.20

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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.