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Finding the Fourth Proportional to 23,196.98, 32,011.54 and 12,586.54

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Solution

The fourth proportional to 23,196.98, 32,011.54 and 12,586.54 is: 17,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,196.98 : 32,011.54 = 12,586.54 : x
  2. Step 2: Convert to fraction form
    23,196.98/32,011.54 = 12,586.54/x
  3. Step 3: Cross multiply
    23,196.98x = 32,011.54 × 12,586.54
  4. Step 4: Simplify right side
    23,196.98x = 402,914,528.67
  5. Step 5: Solve for x
    x = 402,914,528.67/23,196.98
  6. Step 6: Final answer
    x = 17,369.27

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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.