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Finding the Fourth Proportional to 12,415.14, 18,599.27 and 9,628.16

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Solution

The fourth proportional to 12,415.14, 18,599.27 and 9,628.16 is: 14,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.14 : 18,599.27 = 9,628.16 : x
  2. Step 2: Convert to fraction form
    12,415.14/18,599.27 = 9,628.16/x
  3. Step 3: Cross multiply
    12,415.14x = 18,599.27 × 9,628.16
  4. Step 4: Simplify right side
    12,415.14x = 179,076,606.31
  5. Step 5: Solve for x
    x = 179,076,606.31/12,415.14
  6. Step 6: Final answer
    x = 14,424.05

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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.