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Finding the Fourth Proportional to 21,174, 31,749.60 and 7,129.35

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Solution

The fourth proportional to 21,174, 31,749.60 and 7,129.35 is: 10,690.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,174 : 31,749.60 = 7,129.35 : x
  2. Step 2: Convert to fraction form
    21,174/31,749.60 = 7,129.35/x
  3. Step 3: Cross multiply
    21,174x = 31,749.60 × 7,129.35
  4. Step 4: Simplify right side
    21,174x = 226,354,010.76
  5. Step 5: Solve for x
    x = 226,354,010.76/21,174
  6. Step 6: Final answer
    x = 10,690.19

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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.