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Finding the Fourth Proportional to 10,784.21, 16,277.58 and 10,784.21

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Solution

The fourth proportional to 10,784.21, 16,277.58 and 10,784.21 is: 16,277.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784.21 : 16,277.58 = 10,784.21 : x
  2. Step 2: Convert to fraction form
    10,784.21/16,277.58 = 10,784.21/x
  3. Step 3: Cross multiply
    10,784.21x = 16,277.58 × 10,784.21
  4. Step 4: Simplify right side
    10,784.21x = 175,540,759.62
  5. Step 5: Solve for x
    x = 175,540,759.62/10,784.21
  6. Step 6: Final answer
    x = 16,277.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.