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Finding the Fourth Proportional to 23,322.34, 34,986.98 and 7,522.16

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Solution

The fourth proportional to 23,322.34, 34,986.98 and 7,522.16 is: 11,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,322.34 : 34,986.98 = 7,522.16 : x
  2. Step 2: Convert to fraction form
    23,322.34/34,986.98 = 7,522.16/x
  3. Step 3: Cross multiply
    23,322.34x = 34,986.98 × 7,522.16
  4. Step 4: Simplify right side
    23,322.34x = 263,177,661.48
  5. Step 5: Solve for x
    x = 263,177,661.48/23,322.34
  6. Step 6: Final answer
    x = 11,284.36

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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.