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Finding the Fourth Proportional to 23,828.63, 32,883 and 13,218.17

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Solution

The fourth proportional to 23,828.63, 32,883 and 13,218.17 is: 18,240.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828.63 : 32,883 = 13,218.17 : x
  2. Step 2: Convert to fraction form
    23,828.63/32,883 = 13,218.17/x
  3. Step 3: Cross multiply
    23,828.63x = 32,883 × 13,218.17
  4. Step 4: Simplify right side
    23,828.63x = 434,653,084.11
  5. Step 5: Solve for x
    x = 434,653,084.11/23,828.63
  6. Step 6: Final answer
    x = 18,240.79

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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.