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Finding the Fourth Proportional to 13,312.80, 19,969.20 and 5,415.30

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Solution

The fourth proportional to 13,312.80, 19,969.20 and 5,415.30 is: 8,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,312.80 : 19,969.20 = 5,415.30 : x
  2. Step 2: Convert to fraction form
    13,312.80/19,969.20 = 5,415.30/x
  3. Step 3: Cross multiply
    13,312.80x = 19,969.20 × 5,415.30
  4. Step 4: Simplify right side
    13,312.80x = 108,139,208.76
  5. Step 5: Solve for x
    x = 108,139,208.76/13,312.80
  6. Step 6: Final answer
    x = 8,122.95

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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.