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Finding the Fourth Proportional to 14,368.40, 19,827.24 and 8,403.56

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Solution

The fourth proportional to 14,368.40, 19,827.24 and 8,403.56 is: 11,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368.40 : 19,827.24 = 8,403.56 : x
  2. Step 2: Convert to fraction form
    14,368.40/19,827.24 = 8,403.56/x
  3. Step 3: Cross multiply
    14,368.40x = 19,827.24 × 8,403.56
  4. Step 4: Simplify right side
    14,368.40x = 166,619,400.97
  5. Step 5: Solve for x
    x = 166,619,400.97/14,368.40
  6. Step 6: Final answer
    x = 11,596.24

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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.