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Finding the Fourth Proportional to 14,483.64, 19,989.30 and 8,197.26

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Solution

The fourth proportional to 14,483.64, 19,989.30 and 8,197.26 is: 11,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,483.64 : 19,989.30 = 8,197.26 : x
  2. Step 2: Convert to fraction form
    14,483.64/19,989.30 = 8,197.26/x
  3. Step 3: Cross multiply
    14,483.64x = 19,989.30 × 8,197.26
  4. Step 4: Simplify right side
    14,483.64x = 163,857,489.32
  5. Step 5: Solve for x
    x = 163,857,489.32/14,483.64
  6. Step 6: Final answer
    x = 11,313.28

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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.