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Finding the Fourth Proportional to 16,342.30, 22,829.90 and 16,342.30

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Solution

The fourth proportional to 16,342.30, 22,829.90 and 16,342.30 is: 22,829.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.30 : 22,829.90 = 16,342.30 : x
  2. Step 2: Convert to fraction form
    16,342.30/22,829.90 = 16,342.30/x
  3. Step 3: Cross multiply
    16,342.30x = 22,829.90 × 16,342.30
  4. Step 4: Simplify right side
    16,342.30x = 373,093,074.77
  5. Step 5: Solve for x
    x = 373,093,074.77/16,342.30
  6. Step 6: Final answer
    x = 22,829.90

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.