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Finding the Fourth Proportional to 13,386.94, 20,065.34 and 6,361.20

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Solution

The fourth proportional to 13,386.94, 20,065.34 and 6,361.20 is: 9,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.94 : 20,065.34 = 6,361.20 : x
  2. Step 2: Convert to fraction form
    13,386.94/20,065.34 = 6,361.20/x
  3. Step 3: Cross multiply
    13,386.94x = 20,065.34 × 6,361.20
  4. Step 4: Simplify right side
    13,386.94x = 127,639,656.71
  5. Step 5: Solve for x
    x = 127,639,656.71/13,386.94
  6. Step 6: Final answer
    x = 9,534.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.