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Finding the Fourth Proportional to 13,386.75, 18,474.12 and 7,417.86

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Solution

The fourth proportional to 13,386.75, 18,474.12 and 7,417.86 is: 10,236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.75 : 18,474.12 = 7,417.86 : x
  2. Step 2: Convert to fraction form
    13,386.75/18,474.12 = 7,417.86/x
  3. Step 3: Cross multiply
    13,386.75x = 18,474.12 × 7,417.86
  4. Step 4: Simplify right side
    13,386.75x = 137,038,435.78
  5. Step 5: Solve for x
    x = 137,038,435.78/13,386.75
  6. Step 6: Final answer
    x = 10,236.87

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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.