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Finding the Fourth Proportional to 21,004.95, 31,510.54 and 6,768.66

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Solution

The fourth proportional to 21,004.95, 31,510.54 and 6,768.66 is: 10,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.95 : 31,510.54 = 6,768.66 : x
  2. Step 2: Convert to fraction form
    21,004.95/31,510.54 = 6,768.66/x
  3. Step 3: Cross multiply
    21,004.95x = 31,510.54 × 6,768.66
  4. Step 4: Simplify right side
    21,004.95x = 213,283,957.20
  5. Step 5: Solve for x
    x = 213,283,957.20/21,004.95
  6. Step 6: Final answer
    x = 10,153.99

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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.