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Finding the Fourth Proportional to 21,035.79, 31,534.16 and 7,896.87

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Solution

The fourth proportional to 21,035.79, 31,534.16 and 7,896.87 is: 11,837.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,035.79 : 31,534.16 = 7,896.87 : x
  2. Step 2: Convert to fraction form
    21,035.79/31,534.16 = 7,896.87/x
  3. Step 3: Cross multiply
    21,035.79x = 31,534.16 × 7,896.87
  4. Step 4: Simplify right side
    21,035.79x = 249,021,122.59
  5. Step 5: Solve for x
    x = 249,021,122.59/21,035.79
  6. Step 6: Final answer
    x = 11,837.97

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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.