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Finding the Fourth Proportional to 13,403.76, 18,497.34 and 7,435.62

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Solution

The fourth proportional to 13,403.76, 18,497.34 and 7,435.62 is: 10,261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.76 : 18,497.34 = 7,435.62 : x
  2. Step 2: Convert to fraction form
    13,403.76/18,497.34 = 7,435.62/x
  3. Step 3: Cross multiply
    13,403.76x = 18,497.34 × 7,435.62
  4. Step 4: Simplify right side
    13,403.76x = 137,539,191.25
  5. Step 5: Solve for x
    x = 137,539,191.25/13,403.76
  6. Step 6: Final answer
    x = 10,261.24

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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.