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Finding the Fourth Proportional to 18,140.90, 25,039.65 and 10,970.82

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Solution

The fourth proportional to 18,140.90, 25,039.65 and 10,970.82 is: 15,142.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,140.90 : 25,039.65 = 10,970.82 : x
  2. Step 2: Convert to fraction form
    18,140.90/25,039.65 = 10,970.82/x
  3. Step 3: Cross multiply
    18,140.90x = 25,039.65 × 10,970.82
  4. Step 4: Simplify right side
    18,140.90x = 274,705,493.01
  5. Step 5: Solve for x
    x = 274,705,493.01/18,140.90
  6. Step 6: Final answer
    x = 15,142.89

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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.