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Finding the Fourth Proportional to 13,426.39, 18,527.16 and 7,457.70

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Solution

The fourth proportional to 13,426.39, 18,527.16 and 7,457.70 is: 10,290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426.39 : 18,527.16 = 7,457.70 : x
  2. Step 2: Convert to fraction form
    13,426.39/18,527.16 = 7,457.70/x
  3. Step 3: Cross multiply
    13,426.39x = 18,527.16 × 7,457.70
  4. Step 4: Simplify right side
    13,426.39x = 138,170,098.58
  5. Step 5: Solve for x
    x = 138,170,098.58/13,426.39
  6. Step 6: Final answer
    x = 10,290.93

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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.