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Finding the Fourth Proportional to 13,214.10, 18,235.48 and 7,245.66

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Solution

The fourth proportional to 13,214.10, 18,235.48 and 7,245.66 is: 9,999.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.10 : 18,235.48 = 7,245.66 : x
  2. Step 2: Convert to fraction form
    13,214.10/18,235.48 = 7,245.66/x
  3. Step 3: Cross multiply
    13,214.10x = 18,235.48 × 7,245.66
  4. Step 4: Simplify right side
    13,214.10x = 132,128,088.02
  5. Step 5: Solve for x
    x = 132,128,088.02/13,214.10
  6. Step 6: Final answer
    x = 9,999.02

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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.