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Finding the Fourth Proportional to 23,538.41, 35,307.59 and 6,008.24

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Solution

The fourth proportional to 23,538.41, 35,307.59 and 6,008.24 is: 9,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,538.41 : 35,307.59 = 6,008.24 : x
  2. Step 2: Convert to fraction form
    23,538.41/35,307.59 = 6,008.24/x
  3. Step 3: Cross multiply
    23,538.41x = 35,307.59 × 6,008.24
  4. Step 4: Simplify right side
    23,538.41x = 212,136,474.54
  5. Step 5: Solve for x
    x = 212,136,474.54/23,538.41
  6. Step 6: Final answer
    x = 9,012.35

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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.