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Finding the Fourth Proportional to 14,688.36, 22,033.92 and 4,827.66

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Solution

The fourth proportional to 14,688.36, 22,033.92 and 4,827.66 is: 7,241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,688.36 : 22,033.92 = 4,827.66 : x
  2. Step 2: Convert to fraction form
    14,688.36/22,033.92 = 4,827.66/x
  3. Step 3: Cross multiply
    14,688.36x = 22,033.92 × 4,827.66
  4. Step 4: Simplify right side
    14,688.36x = 106,372,274.23
  5. Step 5: Solve for x
    x = 106,372,274.23/14,688.36
  6. Step 6: Final answer
    x = 7,241.94

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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.