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Finding the Fourth Proportional to 13,403.12, 18,497.89 and 7,435.18

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Solution

The fourth proportional to 13,403.12, 18,497.89 and 7,435.18 is: 10,261.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.12 : 18,497.89 = 7,435.18 : x
  2. Step 2: Convert to fraction form
    13,403.12/18,497.89 = 7,435.18/x
  3. Step 3: Cross multiply
    13,403.12x = 18,497.89 × 7,435.18
  4. Step 4: Simplify right side
    13,403.12x = 137,535,141.77
  5. Step 5: Solve for x
    x = 137,535,141.77/13,403.12
  6. Step 6: Final answer
    x = 10,261.43

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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.