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Finding the Fourth Proportional to 21,277.64, 29,364.24 and 12,323.60

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Solution

The fourth proportional to 21,277.64, 29,364.24 and 12,323.60 is: 17,007.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,277.64 : 29,364.24 = 12,323.60 : x
  2. Step 2: Convert to fraction form
    21,277.64/29,364.24 = 12,323.60/x
  3. Step 3: Cross multiply
    21,277.64x = 29,364.24 × 12,323.60
  4. Step 4: Simplify right side
    21,277.64x = 361,873,148.06
  5. Step 5: Solve for x
    x = 361,873,148.06/21,277.64
  6. Step 6: Final answer
    x = 17,007.20

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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.