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Finding the Fourth Proportional to 12,970, 17,898.60 and 7,381

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Solution

The fourth proportional to 12,970, 17,898.60 and 7,381 is: 10,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970 : 17,898.60 = 7,381 : x
  2. Step 2: Convert to fraction form
    12,970/17,898.60 = 7,381/x
  3. Step 3: Cross multiply
    12,970x = 17,898.60 × 7,381
  4. Step 4: Simplify right side
    12,970x = 132,109,566.60
  5. Step 5: Solve for x
    x = 132,109,566.60/12,970
  6. Step 6: Final answer
    x = 10,185.78

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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.