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Finding the Fourth Proportional to 23,829.52, 32,886.30 and 13,220.32

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Solution

The fourth proportional to 23,829.52, 32,886.30 and 13,220.32 is: 18,244.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829.52 : 32,886.30 = 13,220.32 : x
  2. Step 2: Convert to fraction form
    23,829.52/32,886.30 = 13,220.32/x
  3. Step 3: Cross multiply
    23,829.52x = 32,886.30 × 13,220.32
  4. Step 4: Simplify right side
    23,829.52x = 434,767,409.62
  5. Step 5: Solve for x
    x = 434,767,409.62/23,829.52
  6. Step 6: Final answer
    x = 18,244.91

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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.