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Finding the Fourth Proportional to 23,538.63, 35,307.91 and 6,008.46

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Solution

The fourth proportional to 23,538.63, 35,307.91 and 6,008.46 is: 9,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538.63 : 35,307.91 = 6,008.46 : x
  2. Step 2: Convert to fraction form
    23,538.63/35,307.91 = 6,008.46/x
  3. Step 3: Cross multiply
    23,538.63x = 35,307.91 × 6,008.46
  4. Step 4: Simplify right side
    23,538.63x = 212,145,958.34
  5. Step 5: Solve for x
    x = 212,145,958.34/23,538.63
  6. Step 6: Final answer
    x = 9,012.67

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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.