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Finding the Fourth Proportional to 23,624.37, 32,601.60 and 13,014

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Solution

The fourth proportional to 23,624.37, 32,601.60 and 13,014 is: 17,959.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,624.37 : 32,601.60 = 13,014 : x
  2. Step 2: Convert to fraction form
    23,624.37/32,601.60 = 13,014/x
  3. Step 3: Cross multiply
    23,624.37x = 32,601.60 × 13,014
  4. Step 4: Simplify right side
    23,624.37x = 424,277,222.40
  5. Step 5: Solve for x
    x = 424,277,222.40/23,624.37
  6. Step 6: Final answer
    x = 17,959.30

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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.