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Finding the Fourth Proportional to 13,097.70, 19,650.90 and 4,214.40

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Solution

The fourth proportional to 13,097.70, 19,650.90 and 4,214.40 is: 6,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.70 : 19,650.90 = 4,214.40 : x
  2. Step 2: Convert to fraction form
    13,097.70/19,650.90 = 4,214.40/x
  3. Step 3: Cross multiply
    13,097.70x = 19,650.90 × 4,214.40
  4. Step 4: Simplify right side
    13,097.70x = 82,816,752.96
  5. Step 5: Solve for x
    x = 82,816,752.96/13,097.70
  6. Step 6: Final answer
    x = 6,323.00

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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.