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Finding the Fourth Proportional to 23,196.70, 32,011.54 and 12,586.33

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Solution

The fourth proportional to 23,196.70, 32,011.54 and 12,586.33 is: 17,369.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,196.70 : 32,011.54 = 12,586.33 : x
  2. Step 2: Convert to fraction form
    23,196.70/32,011.54 = 12,586.33/x
  3. Step 3: Cross multiply
    23,196.70x = 32,011.54 × 12,586.33
  4. Step 4: Simplify right side
    23,196.70x = 402,907,583.26
  5. Step 5: Solve for x
    x = 402,907,583.26/23,196.70
  6. Step 6: Final answer
    x = 17,369.18

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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.