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Finding the Fourth Proportional to 13,386.33, 18,475.70 and 8,009.15

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Solution

The fourth proportional to 13,386.33, 18,475.70 and 8,009.15 is: 11,054.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.33 : 18,475.70 = 8,009.15 : x
  2. Step 2: Convert to fraction form
    13,386.33/18,475.70 = 8,009.15/x
  3. Step 3: Cross multiply
    13,386.33x = 18,475.70 × 8,009.15
  4. Step 4: Simplify right side
    13,386.33x = 147,974,520.23
  5. Step 5: Solve for x
    x = 147,974,520.23/13,386.33
  6. Step 6: Final answer
    x = 11,054.15

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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.