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Finding the Fourth Proportional to 23,838.52, 32,898.28 and 13,228.24

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Solution

The fourth proportional to 23,838.52, 32,898.28 and 13,228.24 is: 18,255.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.52 : 32,898.28 = 13,228.24 : x
  2. Step 2: Convert to fraction form
    23,838.52/32,898.28 = 13,228.24/x
  3. Step 3: Cross multiply
    23,838.52x = 32,898.28 × 13,228.24
  4. Step 4: Simplify right side
    23,838.52x = 435,186,343.43
  5. Step 5: Solve for x
    x = 435,186,343.43/23,838.52
  6. Step 6: Final answer
    x = 18,255.59

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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.