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Finding the Fourth Proportional to 30,666.36, 46,004.40 and 9,885

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Solution

The fourth proportional to 30,666.36, 46,004.40 and 9,885 is: 14,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,666.36 : 46,004.40 = 9,885 : x
  2. Step 2: Convert to fraction form
    30,666.36/46,004.40 = 9,885/x
  3. Step 3: Cross multiply
    30,666.36x = 46,004.40 × 9,885
  4. Step 4: Simplify right side
    30,666.36x = 454,753,494
  5. Step 5: Solve for x
    x = 454,753,494/30,666.36
  6. Step 6: Final answer
    x = 14,829.07

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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.