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Finding the Fourth Proportional to 13,970.41, 19,263.41 and 10,186.90

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Solution

The fourth proportional to 13,970.41, 19,263.41 and 10,186.90 is: 14,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.41 : 19,263.41 = 10,186.90 : x
  2. Step 2: Convert to fraction form
    13,970.41/19,263.41 = 10,186.90/x
  3. Step 3: Cross multiply
    13,970.41x = 19,263.41 × 10,186.90
  4. Step 4: Simplify right side
    13,970.41x = 196,234,360.48
  5. Step 5: Solve for x
    x = 196,234,360.48/13,970.41
  6. Step 6: Final answer
    x = 14,046.43

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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.