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Finding the Fourth Proportional to 13,426.64, 18,527.97 and 7,457.95

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Solution

The fourth proportional to 13,426.64, 18,527.97 and 7,457.95 is: 10,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426.64 : 18,527.97 = 7,457.95 : x
  2. Step 2: Convert to fraction form
    13,426.64/18,527.97 = 7,457.95/x
  3. Step 3: Cross multiply
    13,426.64x = 18,527.97 × 7,457.95
  4. Step 4: Simplify right side
    13,426.64x = 138,180,673.86
  5. Step 5: Solve for x
    x = 138,180,673.86/13,426.64
  6. Step 6: Final answer
    x = 10,291.53

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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.