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Finding the Fourth Proportional to 23,891.76, 32,970.36 and 13,282.32

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Solution

The fourth proportional to 23,891.76, 32,970.36 and 13,282.32 is: 18,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,891.76 : 32,970.36 = 13,282.32 : x
  2. Step 2: Convert to fraction form
    23,891.76/32,970.36 = 13,282.32/x
  3. Step 3: Cross multiply
    23,891.76x = 32,970.36 × 13,282.32
  4. Step 4: Simplify right side
    23,891.76x = 437,922,872.04
  5. Step 5: Solve for x
    x = 437,922,872.04/23,891.76
  6. Step 6: Final answer
    x = 18,329.45

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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.