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Finding the Fourth Proportional to 12,883.60, 19,296.06 and 7,678.72

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Solution

The fourth proportional to 12,883.60, 19,296.06 and 7,678.72 is: 11,500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.60 : 19,296.06 = 7,678.72 : x
  2. Step 2: Convert to fraction form
    12,883.60/19,296.06 = 7,678.72/x
  3. Step 3: Cross multiply
    12,883.60x = 19,296.06 × 7,678.72
  4. Step 4: Simplify right side
    12,883.60x = 148,169,041.84
  5. Step 5: Solve for x
    x = 148,169,041.84/12,883.60
  6. Step 6: Final answer
    x = 11,500.59

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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.