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Finding the Fourth Proportional to 14,058, 21,090.24 and 4,824

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Solution

The fourth proportional to 14,058, 21,090.24 and 4,824 is: 7,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,058 : 21,090.24 = 4,824 : x
  2. Step 2: Convert to fraction form
    14,058/21,090.24 = 4,824/x
  3. Step 3: Cross multiply
    14,058x = 21,090.24 × 4,824
  4. Step 4: Simplify right side
    14,058x = 101,739,317.76
  5. Step 5: Solve for x
    x = 101,739,317.76/14,058
  6. Step 6: Final answer
    x = 7,237.11

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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.