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Finding the Fourth Proportional to 13,130.70, 19,710.45 and 8,205.90

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Solution

The fourth proportional to 13,130.70, 19,710.45 and 8,205.90 is: 12,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,130.70 : 19,710.45 = 8,205.90 : x
  2. Step 2: Convert to fraction form
    13,130.70/19,710.45 = 8,205.90/x
  3. Step 3: Cross multiply
    13,130.70x = 19,710.45 × 8,205.90
  4. Step 4: Simplify right side
    13,130.70x = 161,741,981.66
  5. Step 5: Solve for x
    x = 161,741,981.66/13,130.70
  6. Step 6: Final answer
    x = 12,317.85

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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.