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Finding the Fourth Proportional to 16,160.00, 24,233.58 and 6,804.50

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Solution

The fourth proportional to 16,160.00, 24,233.58 and 6,804.50 is: 10,204.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,160.00 : 24,233.58 = 6,804.50 : x
  2. Step 2: Convert to fraction form
    16,160.00/24,233.58 = 6,804.50/x
  3. Step 3: Cross multiply
    16,160.00x = 24,233.58 × 6,804.50
  4. Step 4: Simplify right side
    16,160.00x = 164,897,273.94
  5. Step 5: Solve for x
    x = 164,897,273.94/16,160.00
  6. Step 6: Final answer
    x = 10,204.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.