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Finding the Fourth Proportional to 12,678.96, 19,006.02 and 5,288.52

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Solution

The fourth proportional to 12,678.96, 19,006.02 and 5,288.52 is: 7,927.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.96 : 19,006.02 = 5,288.52 : x
  2. Step 2: Convert to fraction form
    12,678.96/19,006.02 = 5,288.52/x
  3. Step 3: Cross multiply
    12,678.96x = 19,006.02 × 5,288.52
  4. Step 4: Simplify right side
    12,678.96x = 100,513,716.89
  5. Step 5: Solve for x
    x = 100,513,716.89/12,678.96
  6. Step 6: Final answer
    x = 7,927.60

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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.