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Finding the Fourth Proportional to 23,569, 32,525.98 and 12,959.40

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Solution

The fourth proportional to 23,569, 32,525.98 and 12,959.40 is: 17,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,569 : 32,525.98 = 12,959.40 : x
  2. Step 2: Convert to fraction form
    23,569/32,525.98 = 12,959.40/x
  3. Step 3: Cross multiply
    23,569x = 32,525.98 × 12,959.40
  4. Step 4: Simplify right side
    23,569x = 421,517,185.21
  5. Step 5: Solve for x
    x = 421,517,185.21/23,569
  6. Step 6: Final answer
    x = 17,884.39

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Why These Related Problems?

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