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Finding the Fourth Proportional to 12,946, 17,865.48 and 7,357

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Solution

The fourth proportional to 12,946, 17,865.48 and 7,357 is: 10,152.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,946 : 17,865.48 = 7,357 : x
  2. Step 2: Convert to fraction form
    12,946/17,865.48 = 7,357/x
  3. Step 3: Cross multiply
    12,946x = 17,865.48 × 7,357
  4. Step 4: Simplify right side
    12,946x = 131,436,336.36
  5. Step 5: Solve for x
    x = 131,436,336.36/12,946
  6. Step 6: Final answer
    x = 10,152.66

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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.