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Finding the Fourth Proportional to 12,946.96, 17,868.44 and 7,356.88

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Solution

The fourth proportional to 12,946.96, 17,868.44 and 7,356.88 is: 10,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946.96 : 17,868.44 = 7,356.88 : x
  2. Step 2: Convert to fraction form
    12,946.96/17,868.44 = 7,356.88/x
  3. Step 3: Cross multiply
    12,946.96x = 17,868.44 × 7,356.88
  4. Step 4: Simplify right side
    12,946.96x = 131,455,968.87
  5. Step 5: Solve for x
    x = 131,455,968.87/12,946.96
  6. Step 6: Final answer
    x = 10,153.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.