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Finding the Fourth Proportional to 14,150.22, 19,527.63 and 7,776.96

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Solution

The fourth proportional to 14,150.22, 19,527.63 and 7,776.96 is: 10,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,150.22 : 19,527.63 = 7,776.96 : x
  2. Step 2: Convert to fraction form
    14,150.22/19,527.63 = 7,776.96/x
  3. Step 3: Cross multiply
    14,150.22x = 19,527.63 × 7,776.96
  4. Step 4: Simplify right side
    14,150.22x = 151,865,597.40
  5. Step 5: Solve for x
    x = 151,865,597.40/14,150.22
  6. Step 6: Final answer
    x = 10,732.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.