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Finding the Fourth Proportional to 11,214.94, 16,880.91 and 9,523.66

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Solution

The fourth proportional to 11,214.94, 16,880.91 and 9,523.66 is: 14,335.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.94 : 16,880.91 = 9,523.66 : x
  2. Step 2: Convert to fraction form
    11,214.94/16,880.91 = 9,523.66/x
  3. Step 3: Cross multiply
    11,214.94x = 16,880.91 × 9,523.66
  4. Step 4: Simplify right side
    11,214.94x = 160,767,999.71
  5. Step 5: Solve for x
    x = 160,767,999.71/11,214.94
  6. Step 6: Final answer
    x = 14,335.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.