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Finding the Fourth Proportional to 21,028.66, 31,533.76 and 7,871.81

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Solution

The fourth proportional to 21,028.66, 31,533.76 and 7,871.81 is: 11,804.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,028.66 : 31,533.76 = 7,871.81 : x
  2. Step 2: Convert to fraction form
    21,028.66/31,533.76 = 7,871.81/x
  3. Step 3: Cross multiply
    21,028.66x = 31,533.76 × 7,871.81
  4. Step 4: Simplify right side
    21,028.66x = 248,227,663.79
  5. Step 5: Solve for x
    x = 248,227,663.79/21,028.66
  6. Step 6: Final answer
    x = 11,804.25

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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.