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Finding the Fourth Proportional to 23,448.64, 32,359.14 and 12,838.32

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Solution

The fourth proportional to 23,448.64, 32,359.14 and 12,838.32 is: 17,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,448.64 : 32,359.14 = 12,838.32 : x
  2. Step 2: Convert to fraction form
    23,448.64/32,359.14 = 12,838.32/x
  3. Step 3: Cross multiply
    23,448.64x = 32,359.14 × 12,838.32
  4. Step 4: Simplify right side
    23,448.64x = 415,436,994.24
  5. Step 5: Solve for x
    x = 415,436,994.24/23,448.64
  6. Step 6: Final answer
    x = 17,716.89

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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.