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Finding the Fourth Proportional to 23,284, 32,131.60 and 13,852.32

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Solution

The fourth proportional to 23,284, 32,131.60 and 13,852.32 is: 19,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284 : 32,131.60 = 13,852.32 : x
  2. Step 2: Convert to fraction form
    23,284/32,131.60 = 13,852.32/x
  3. Step 3: Cross multiply
    23,284x = 32,131.60 × 13,852.32
  4. Step 4: Simplify right side
    23,284x = 445,097,205.31
  5. Step 5: Solve for x
    x = 445,097,205.31/23,284
  6. Step 6: Final answer
    x = 19,116.01

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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.