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Finding the Fourth Proportional to 13,025.40, 19,538.10 and 8,359.80

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Solution

The fourth proportional to 13,025.40, 19,538.10 and 8,359.80 is: 12,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.40 : 19,538.10 = 8,359.80 : x
  2. Step 2: Convert to fraction form
    13,025.40/19,538.10 = 8,359.80/x
  3. Step 3: Cross multiply
    13,025.40x = 19,538.10 × 8,359.80
  4. Step 4: Simplify right side
    13,025.40x = 163,334,608.38
  5. Step 5: Solve for x
    x = 163,334,608.38/13,025.40
  6. Step 6: Final answer
    x = 12,539.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.