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Finding the Fourth Proportional to 13,487.10, 18,616.32 and 7,823.28

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Solution

The fourth proportional to 13,487.10, 18,616.32 and 7,823.28 is: 10,798.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,487.10 : 18,616.32 = 7,823.28 : x
  2. Step 2: Convert to fraction form
    13,487.10/18,616.32 = 7,823.28/x
  3. Step 3: Cross multiply
    13,487.10x = 18,616.32 × 7,823.28
  4. Step 4: Simplify right side
    13,487.10x = 145,640,644.81
  5. Step 5: Solve for x
    x = 145,640,644.81/13,487.10
  6. Step 6: Final answer
    x = 10,798.51

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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.