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Finding the Fourth Proportional to 14,186.16, 21,277.08 and 4,950

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Solution

The fourth proportional to 14,186.16, 21,277.08 and 4,950 is: 7,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.16 : 21,277.08 = 4,950 : x
  2. Step 2: Convert to fraction form
    14,186.16/21,277.08 = 4,950/x
  3. Step 3: Cross multiply
    14,186.16x = 21,277.08 × 4,950
  4. Step 4: Simplify right side
    14,186.16x = 105,321,546.00
  5. Step 5: Solve for x
    x = 105,321,546.00/14,186.16
  6. Step 6: Final answer
    x = 7,424.25

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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.