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Finding the Fourth Proportional to 13,967.74, 19,259.70 and 10,184.23

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Solution

The fourth proportional to 13,967.74, 19,259.70 and 10,184.23 is: 14,042.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.74 : 19,259.70 = 10,184.23 : x
  2. Step 2: Convert to fraction form
    13,967.74/19,259.70 = 10,184.23/x
  3. Step 3: Cross multiply
    13,967.74x = 19,259.70 × 10,184.23
  4. Step 4: Simplify right side
    13,967.74x = 196,145,214.53
  5. Step 5: Solve for x
    x = 196,145,214.53/13,967.74
  6. Step 6: Final answer
    x = 14,042.73

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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.