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Finding the Fourth Proportional to 13,046.50, 18,004.18 and 7,457.62

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Solution

The fourth proportional to 13,046.50, 18,004.18 and 7,457.62 is: 10,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.50 : 18,004.18 = 7,457.62 : x
  2. Step 2: Convert to fraction form
    13,046.50/18,004.18 = 7,457.62/x
  3. Step 3: Cross multiply
    13,046.50x = 18,004.18 × 7,457.62
  4. Step 4: Simplify right side
    13,046.50x = 134,268,332.85
  5. Step 5: Solve for x
    x = 134,268,332.85/13,046.50
  6. Step 6: Final answer
    x = 10,291.52

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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.