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Finding the Fourth Proportional to 23,904.70, 32,989.08 and 13,295

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Solution

The fourth proportional to 23,904.70, 32,989.08 and 13,295 is: 18,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,904.70 : 32,989.08 = 13,295 : x
  2. Step 2: Convert to fraction form
    23,904.70/32,989.08 = 13,295/x
  3. Step 3: Cross multiply
    23,904.70x = 32,989.08 × 13,295
  4. Step 4: Simplify right side
    23,904.70x = 438,589,818.60
  5. Step 5: Solve for x
    x = 438,589,818.60/23,904.70
  6. Step 6: Final answer
    x = 18,347.43

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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.