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Finding the Fourth Proportional to 13,006.12, 19,498.20 and 5,220.40

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Solution

The fourth proportional to 13,006.12, 19,498.20 and 5,220.40 is: 7,826.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.12 : 19,498.20 = 5,220.40 : x
  2. Step 2: Convert to fraction form
    13,006.12/19,498.20 = 5,220.40/x
  3. Step 3: Cross multiply
    13,006.12x = 19,498.20 × 5,220.40
  4. Step 4: Simplify right side
    13,006.12x = 101,788,403.28
  5. Step 5: Solve for x
    x = 101,788,403.28/13,006.12
  6. Step 6: Final answer
    x = 7,826.19

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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.