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Finding the Fourth Proportional to 23,668.16, 35,503.14 and 6,137.52

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Solution

The fourth proportional to 23,668.16, 35,503.14 and 6,137.52 is: 9,206.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,668.16 : 35,503.14 = 6,137.52 : x
  2. Step 2: Convert to fraction form
    23,668.16/35,503.14 = 6,137.52/x
  3. Step 3: Cross multiply
    23,668.16x = 35,503.14 × 6,137.52
  4. Step 4: Simplify right side
    23,668.16x = 217,901,231.81
  5. Step 5: Solve for x
    x = 217,901,231.81/23,668.16
  6. Step 6: Final answer
    x = 9,206.51

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