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Finding the Fourth Proportional to 21,214.64, 29,277.24 and 11,783

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Solution

The fourth proportional to 21,214.64, 29,277.24 and 11,783 is: 16,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.64 : 29,277.24 = 11,783 : x
  2. Step 2: Convert to fraction form
    21,214.64/29,277.24 = 11,783/x
  3. Step 3: Cross multiply
    21,214.64x = 29,277.24 × 11,783
  4. Step 4: Simplify right side
    21,214.64x = 344,973,718.92
  5. Step 5: Solve for x
    x = 344,973,718.92/21,214.64
  6. Step 6: Final answer
    x = 16,261.12

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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.