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Finding the Fourth Proportional to 12,653.16, 17,463.24 and 12,265.98

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Solution

The fourth proportional to 12,653.16, 17,463.24 and 12,265.98 is: 16,928.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.16 : 17,463.24 = 12,265.98 : x
  2. Step 2: Convert to fraction form
    12,653.16/17,463.24 = 12,265.98/x
  3. Step 3: Cross multiply
    12,653.16x = 17,463.24 × 12,265.98
  4. Step 4: Simplify right side
    12,653.16x = 214,203,752.58
  5. Step 5: Solve for x
    x = 214,203,752.58/12,653.16
  6. Step 6: Final answer
    x = 16,928.87

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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.