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Finding the Fourth Proportional to 23,668, 35,508.96 and 7,028.08

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Solution

The fourth proportional to 23,668, 35,508.96 and 7,028.08 is: 10,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,668 : 35,508.96 = 7,028.08 : x
  2. Step 2: Convert to fraction form
    23,668/35,508.96 = 7,028.08/x
  3. Step 3: Cross multiply
    23,668x = 35,508.96 × 7,028.08
  4. Step 4: Simplify right side
    23,668x = 249,559,811.60
  5. Step 5: Solve for x
    x = 249,559,811.60/23,668
  6. Step 6: Final answer
    x = 10,544.19

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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.