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Finding the Fourth Proportional to 23,567.88, 32,522.10 and 12,957

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Solution

The fourth proportional to 23,567.88, 32,522.10 and 12,957 is: 17,879.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,567.88 : 32,522.10 = 12,957 : x
  2. Step 2: Convert to fraction form
    23,567.88/32,522.10 = 12,957/x
  3. Step 3: Cross multiply
    23,567.88x = 32,522.10 × 12,957
  4. Step 4: Simplify right side
    23,567.88x = 421,388,849.70
  5. Step 5: Solve for x
    x = 421,388,849.70/23,567.88
  6. Step 6: Final answer
    x = 17,879.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.