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Finding the Fourth Proportional to 17,664.66, 24,376.05 and 9,706.50

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Solution

The fourth proportional to 17,664.66, 24,376.05 and 9,706.50 is: 13,394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,664.66 : 24,376.05 = 9,706.50 : x
  2. Step 2: Convert to fraction form
    17,664.66/24,376.05 = 9,706.50/x
  3. Step 3: Cross multiply
    17,664.66x = 24,376.05 × 9,706.50
  4. Step 4: Simplify right side
    17,664.66x = 236,606,129.33
  5. Step 5: Solve for x
    x = 236,606,129.33/17,664.66
  6. Step 6: Final answer
    x = 13,394.32

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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.