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Finding the Fourth Proportional to 13,426.14, 18,527.74 and 7,457.82

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Solution

The fourth proportional to 13,426.14, 18,527.74 and 7,457.82 is: 10,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426.14 : 18,527.74 = 7,457.82 : x
  2. Step 2: Convert to fraction form
    13,426.14/18,527.74 = 7,457.82/x
  3. Step 3: Cross multiply
    13,426.14x = 18,527.74 × 7,457.82
  4. Step 4: Simplify right side
    13,426.14x = 138,176,566.02
  5. Step 5: Solve for x
    x = 138,176,566.02/13,426.14
  6. Step 6: Final answer
    x = 10,291.61

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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.