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Finding the Fourth Proportional to 14,233, 19,641.54 and 7,945.39

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Solution

The fourth proportional to 14,233, 19,641.54 and 7,945.39 is: 10,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233 : 19,641.54 = 7,945.39 : x
  2. Step 2: Convert to fraction form
    14,233/19,641.54 = 7,945.39/x
  3. Step 3: Cross multiply
    14,233x = 19,641.54 × 7,945.39
  4. Step 4: Simplify right side
    14,233x = 156,059,695.50
  5. Step 5: Solve for x
    x = 156,059,695.50/14,233
  6. Step 6: Final answer
    x = 10,964.64

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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.