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Finding the Fourth Proportional to 12,653.40, 18,962.40 and 9,867.54

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Solution

The fourth proportional to 12,653.40, 18,962.40 and 9,867.54 is: 14,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.40 : 18,962.40 = 9,867.54 : x
  2. Step 2: Convert to fraction form
    12,653.40/18,962.40 = 9,867.54/x
  3. Step 3: Cross multiply
    12,653.40x = 18,962.40 × 9,867.54
  4. Step 4: Simplify right side
    12,653.40x = 187,112,240.50
  5. Step 5: Solve for x
    x = 187,112,240.50/12,653.40
  6. Step 6: Final answer
    x = 14,787.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.