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Finding the Fourth Proportional to 13,459.15, 18,573.49 and 7,409.20

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Solution

The fourth proportional to 13,459.15, 18,573.49 and 7,409.20 is: 10,224.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.15 : 18,573.49 = 7,409.20 : x
  2. Step 2: Convert to fraction form
    13,459.15/18,573.49 = 7,409.20/x
  3. Step 3: Cross multiply
    13,459.15x = 18,573.49 × 7,409.20
  4. Step 4: Simplify right side
    13,459.15x = 137,614,702.11
  5. Step 5: Solve for x
    x = 137,614,702.11/13,459.15
  6. Step 6: Final answer
    x = 10,224.62

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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.