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Finding the Fourth Proportional to 23,225.96, 32,052.06 and 12,615.80

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Solution

The fourth proportional to 23,225.96, 32,052.06 and 12,615.80 is: 17,409.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,225.96 : 32,052.06 = 12,615.80 : x
  2. Step 2: Convert to fraction form
    23,225.96/32,052.06 = 12,615.80/x
  3. Step 3: Cross multiply
    23,225.96x = 32,052.06 × 12,615.80
  4. Step 4: Simplify right side
    23,225.96x = 404,362,378.55
  5. Step 5: Solve for x
    x = 404,362,378.55/23,225.96
  6. Step 6: Final answer
    x = 17,409.93

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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.