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Finding the Fourth Proportional to 13,563.89, 18,705.67 and 9,307.44

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Solution

The fourth proportional to 13,563.89, 18,705.67 and 9,307.44 is: 12,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.89 : 18,705.67 = 9,307.44 : x
  2. Step 2: Convert to fraction form
    13,563.89/18,705.67 = 9,307.44/x
  3. Step 3: Cross multiply
    13,563.89x = 18,705.67 × 9,307.44
  4. Step 4: Simplify right side
    13,563.89x = 174,101,901.18
  5. Step 5: Solve for x
    x = 174,101,901.18/13,563.89
  6. Step 6: Final answer
    x = 12,835.69

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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.