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Finding the Fourth Proportional to 23,461.44, 32,377.52 and 12,852.08

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Solution

The fourth proportional to 23,461.44, 32,377.52 and 12,852.08 is: 17,736.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,461.44 : 32,377.52 = 12,852.08 : x
  2. Step 2: Convert to fraction form
    23,461.44/32,377.52 = 12,852.08/x
  3. Step 3: Cross multiply
    23,461.44x = 32,377.52 × 12,852.08
  4. Step 4: Simplify right side
    23,461.44x = 416,118,477.24
  5. Step 5: Solve for x
    x = 416,118,477.24/23,461.44
  6. Step 6: Final answer
    x = 17,736.27

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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.