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Finding the Fourth Proportional to 13,059.54, 19,509.84 and 8,341.70

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Solution

The fourth proportional to 13,059.54, 19,509.84 and 8,341.70 is: 12,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,059.54 : 19,509.84 = 8,341.70 : x
  2. Step 2: Convert to fraction form
    13,059.54/19,509.84 = 8,341.70/x
  3. Step 3: Cross multiply
    13,059.54x = 19,509.84 × 8,341.70
  4. Step 4: Simplify right side
    13,059.54x = 162,745,134.78
  5. Step 5: Solve for x
    x = 162,745,134.78/13,059.54
  6. Step 6: Final answer
    x = 12,461.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.