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Finding the Fourth Proportional to 14,077.49, 19,409.28 and 9,032.81

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Solution

The fourth proportional to 14,077.49, 19,409.28 and 9,032.81 is: 12,453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,077.49 : 19,409.28 = 9,032.81 : x
  2. Step 2: Convert to fraction form
    14,077.49/19,409.28 = 9,032.81/x
  3. Step 3: Cross multiply
    14,077.49x = 19,409.28 × 9,032.81
  4. Step 4: Simplify right side
    14,077.49x = 175,320,241.43
  5. Step 5: Solve for x
    x = 175,320,241.43/14,077.49
  6. Step 6: Final answer
    x = 12,453.95

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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.