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Finding the Fourth Proportional to 19,541.79, 29,314.04 and 7,855.01

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Solution

The fourth proportional to 19,541.79, 29,314.04 and 7,855.01 is: 11,783.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,541.79 : 29,314.04 = 7,855.01 : x
  2. Step 2: Convert to fraction form
    19,541.79/29,314.04 = 7,855.01/x
  3. Step 3: Cross multiply
    19,541.79x = 29,314.04 × 7,855.01
  4. Step 4: Simplify right side
    19,541.79x = 230,261,891.50
  5. Step 5: Solve for x
    x = 230,261,891.50/19,541.79
  6. Step 6: Final answer
    x = 11,783.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.