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Finding the Fourth Proportional to 30,233.04, 41,719.01 and 16,800

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Solution

The fourth proportional to 30,233.04, 41,719.01 and 16,800 is: 23,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,233.04 : 41,719.01 = 16,800 : x
  2. Step 2: Convert to fraction form
    30,233.04/41,719.01 = 16,800/x
  3. Step 3: Cross multiply
    30,233.04x = 41,719.01 × 16,800
  4. Step 4: Simplify right side
    30,233.04x = 700,879,368
  5. Step 5: Solve for x
    x = 700,879,368/30,233.04
  6. Step 6: Final answer
    x = 23,182.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.