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Finding the Fourth Proportional to 12,678.20, 19,009.20 and 5,285.60

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Solution

The fourth proportional to 12,678.20, 19,009.20 and 5,285.60 is: 7,925.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.20 : 19,009.20 = 5,285.60 : x
  2. Step 2: Convert to fraction form
    12,678.20/19,009.20 = 5,285.60/x
  3. Step 3: Cross multiply
    12,678.20x = 19,009.20 × 5,285.60
  4. Step 4: Simplify right side
    12,678.20x = 100,475,027.52
  5. Step 5: Solve for x
    x = 100,475,027.52/12,678.20
  6. Step 6: Final answer
    x = 7,925.02

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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.