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Finding the Fourth Proportional to 13,026.76, 19,541.02 and 5,234.60

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Solution

The fourth proportional to 13,026.76, 19,541.02 and 5,234.60 is: 7,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.76 : 19,541.02 = 5,234.60 : x
  2. Step 2: Convert to fraction form
    13,026.76/19,541.02 = 5,234.60/x
  3. Step 3: Cross multiply
    13,026.76x = 19,541.02 × 5,234.60
  4. Step 4: Simplify right side
    13,026.76x = 102,289,423.29
  5. Step 5: Solve for x
    x = 102,289,423.29/13,026.76
  6. Step 6: Final answer
    x = 7,852.25

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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.