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Finding the Fourth Proportional to 14,661.27, 21,996 and 4,807.49

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Solution

The fourth proportional to 14,661.27, 21,996 and 4,807.49 is: 7,212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.27 : 21,996 = 4,807.49 : x
  2. Step 2: Convert to fraction form
    14,661.27/21,996 = 4,807.49/x
  3. Step 3: Cross multiply
    14,661.27x = 21,996 × 4,807.49
  4. Step 4: Simplify right side
    14,661.27x = 105,745,440.06
  5. Step 5: Solve for x
    x = 105,745,440.06/14,661.27
  6. Step 6: Final answer
    x = 7,212.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.