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Finding the Fourth Proportional to 16,109.36, 24,192.84 and 10,574

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Solution

The fourth proportional to 16,109.36, 24,192.84 and 10,574 is: 15,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109.36 : 24,192.84 = 10,574 : x
  2. Step 2: Convert to fraction form
    16,109.36/24,192.84 = 10,574/x
  3. Step 3: Cross multiply
    16,109.36x = 24,192.84 × 10,574
  4. Step 4: Simplify right side
    16,109.36x = 255,815,090.16
  5. Step 5: Solve for x
    x = 255,815,090.16/16,109.36
  6. Step 6: Final answer
    x = 15,879.90

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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.