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Finding the Fourth Proportional to 14,058.63, 19,400.94 and 7,771

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Solution

The fourth proportional to 14,058.63, 19,400.94 and 7,771 is: 10,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,058.63 : 19,400.94 = 7,771 : x
  2. Step 2: Convert to fraction form
    14,058.63/19,400.94 = 7,771/x
  3. Step 3: Cross multiply
    14,058.63x = 19,400.94 × 7,771
  4. Step 4: Simplify right side
    14,058.63x = 150,764,675.60
  5. Step 5: Solve for x
    x = 150,764,675.60/14,058.63
  6. Step 6: Final answer
    x = 10,724.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.