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Finding the Fourth Proportional to 13,425.85, 18,528.23 and 7,457.57

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Solution

The fourth proportional to 13,425.85, 18,528.23 and 7,457.57 is: 10,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.85 : 18,528.23 = 7,457.57 : x
  2. Step 2: Convert to fraction form
    13,425.85/18,528.23 = 7,457.57/x
  3. Step 3: Cross multiply
    13,425.85x = 18,528.23 × 7,457.57
  4. Step 4: Simplify right side
    13,425.85x = 138,175,442.27
  5. Step 5: Solve for x
    x = 138,175,442.27/13,425.85
  6. Step 6: Final answer
    x = 10,291.75

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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.