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Finding the Fourth Proportional to 23,184.70, 31,994.40 and 15,226.45

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Solution

The fourth proportional to 23,184.70, 31,994.40 and 15,226.45 is: 21,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184.70 : 31,994.40 = 15,226.45 : x
  2. Step 2: Convert to fraction form
    23,184.70/31,994.40 = 15,226.45/x
  3. Step 3: Cross multiply
    23,184.70x = 31,994.40 × 15,226.45
  4. Step 4: Simplify right side
    23,184.70x = 487,161,131.88
  5. Step 5: Solve for x
    x = 487,161,131.88/23,184.70
  6. Step 6: Final answer
    x = 21,012.18

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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.