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Finding the Fourth Proportional to 16,666.38, 24,999.57 and 6,803.46

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Solution

The fourth proportional to 16,666.38, 24,999.57 and 6,803.46 is: 10,205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,666.38 : 24,999.57 = 6,803.46 : x
  2. Step 2: Convert to fraction form
    16,666.38/24,999.57 = 6,803.46/x
  3. Step 3: Cross multiply
    16,666.38x = 24,999.57 × 6,803.46
  4. Step 4: Simplify right side
    16,666.38x = 170,083,574.51
  5. Step 5: Solve for x
    x = 170,083,574.51/16,666.38
  6. Step 6: Final answer
    x = 10,205.19

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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.