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Finding the Fourth Proportional to 16,146.79, 24,222.01 and 6,785.07

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Solution

The fourth proportional to 16,146.79, 24,222.01 and 6,785.07 is: 10,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.79 : 24,222.01 = 6,785.07 : x
  2. Step 2: Convert to fraction form
    16,146.79/24,222.01 = 6,785.07/x
  3. Step 3: Cross multiply
    16,146.79x = 24,222.01 × 6,785.07
  4. Step 4: Simplify right side
    16,146.79x = 164,347,957.40
  5. Step 5: Solve for x
    x = 164,347,957.40/16,146.79
  6. Step 6: Final answer
    x = 10,178.37

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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.