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Finding the Fourth Proportional to 15,527.68, 23,291.72 and 6,762.27

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Solution

The fourth proportional to 15,527.68, 23,291.72 and 6,762.27 is: 10,143.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,527.68 : 23,291.72 = 6,762.27 : x
  2. Step 2: Convert to fraction form
    15,527.68/23,291.72 = 6,762.27/x
  3. Step 3: Cross multiply
    15,527.68x = 23,291.72 × 6,762.27
  4. Step 4: Simplify right side
    15,527.68x = 157,504,899.40
  5. Step 5: Solve for x
    x = 157,504,899.40/15,527.68
  6. Step 6: Final answer
    x = 10,143.49

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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.