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Finding the Fourth Proportional to 30,024, 41,433.12 and 16,776

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Solution

The fourth proportional to 30,024, 41,433.12 and 16,776 is: 23,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,024 : 41,433.12 = 16,776 : x
  2. Step 2: Convert to fraction form
    30,024/41,433.12 = 16,776/x
  3. Step 3: Cross multiply
    30,024x = 41,433.12 × 16,776
  4. Step 4: Simplify right side
    30,024x = 695,082,021.12
  5. Step 5: Solve for x
    x = 695,082,021.12/30,024
  6. Step 6: Final answer
    x = 23,150.88

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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.