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Finding the Fourth Proportional to 13,713.70, 18,924.98 and 7,426.07

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Solution

The fourth proportional to 13,713.70, 18,924.98 and 7,426.07 is: 10,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.70 : 18,924.98 = 7,426.07 : x
  2. Step 2: Convert to fraction form
    13,713.70/18,924.98 = 7,426.07/x
  3. Step 3: Cross multiply
    13,713.70x = 18,924.98 × 7,426.07
  4. Step 4: Simplify right side
    13,713.70x = 140,538,226.23
  5. Step 5: Solve for x
    x = 140,538,226.23/13,713.70
  6. Step 6: Final answer
    x = 10,248.02

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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.