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Finding the Fourth Proportional to 13,387.06, 18,477.24 and 8,911

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Solution

The fourth proportional to 13,387.06, 18,477.24 and 8,911 is: 12,299.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,387.06 : 18,477.24 = 8,911 : x
  2. Step 2: Convert to fraction form
    13,387.06/18,477.24 = 8,911/x
  3. Step 3: Cross multiply
    13,387.06x = 18,477.24 × 8,911
  4. Step 4: Simplify right side
    13,387.06x = 164,650,685.64
  5. Step 5: Solve for x
    x = 164,650,685.64/13,387.06
  6. Step 6: Final answer
    x = 12,299.24

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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.