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Finding the Fourth Proportional to 14,219.64, 19,614.60 and 9,182.16

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Solution

The fourth proportional to 14,219.64, 19,614.60 and 9,182.16 is: 12,665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,219.64 : 19,614.60 = 9,182.16 : x
  2. Step 2: Convert to fraction form
    14,219.64/19,614.60 = 9,182.16/x
  3. Step 3: Cross multiply
    14,219.64x = 19,614.60 × 9,182.16
  4. Step 4: Simplify right side
    14,219.64x = 180,104,395.54
  5. Step 5: Solve for x
    x = 180,104,395.54/14,219.64
  6. Step 6: Final answer
    x = 12,665.89

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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.