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Finding the Fourth Proportional to 12,816.96, 19,214.02 and 6,897.07

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Solution

The fourth proportional to 12,816.96, 19,214.02 and 6,897.07 is: 10,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.96 : 19,214.02 = 6,897.07 : x
  2. Step 2: Convert to fraction form
    12,816.96/19,214.02 = 6,897.07/x
  3. Step 3: Cross multiply
    12,816.96x = 19,214.02 × 6,897.07
  4. Step 4: Simplify right side
    12,816.96x = 132,520,440.92
  5. Step 5: Solve for x
    x = 132,520,440.92/12,816.96
  6. Step 6: Final answer
    x = 10,339.46

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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.