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Finding the Fourth Proportional to 12,923.60, 19,385.94 and 7,718

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Solution

The fourth proportional to 12,923.60, 19,385.94 and 7,718 is: 11,577.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,923.60 : 19,385.94 = 7,718 : x
  2. Step 2: Convert to fraction form
    12,923.60/19,385.94 = 7,718/x
  3. Step 3: Cross multiply
    12,923.60x = 19,385.94 × 7,718
  4. Step 4: Simplify right side
    12,923.60x = 149,620,684.92
  5. Step 5: Solve for x
    x = 149,620,684.92/12,923.60
  6. Step 6: Final answer
    x = 11,577.32

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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.