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Finding the Fourth Proportional to 30,664.36, 46,001.40 and 9,883

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Solution

The fourth proportional to 30,664.36, 46,001.40 and 9,883 is: 14,826.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,664.36 : 46,001.40 = 9,883 : x
  2. Step 2: Convert to fraction form
    30,664.36/46,001.40 = 9,883/x
  3. Step 3: Cross multiply
    30,664.36x = 46,001.40 × 9,883
  4. Step 4: Simplify right side
    30,664.36x = 454,631,836.20
  5. Step 5: Solve for x
    x = 454,631,836.20/30,664.36
  6. Step 6: Final answer
    x = 14,826.07

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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.