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Finding the Fourth Proportional to 23,601.60, 32,564.32 and 15,208

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Solution

The fourth proportional to 23,601.60, 32,564.32 and 15,208 is: 20,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,601.60 : 32,564.32 = 15,208 : x
  2. Step 2: Convert to fraction form
    23,601.60/32,564.32 = 15,208/x
  3. Step 3: Cross multiply
    23,601.60x = 32,564.32 × 15,208
  4. Step 4: Simplify right side
    23,601.60x = 495,238,178.56
  5. Step 5: Solve for x
    x = 495,238,178.56/23,601.60
  6. Step 6: Final answer
    x = 20,983.25

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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.