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Finding the Fourth Proportional to 13,386.84, 20,054.34 and 6,466.20

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Solution

The fourth proportional to 13,386.84, 20,054.34 and 6,466.20 is: 9,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.84 : 20,054.34 = 6,466.20 : x
  2. Step 2: Convert to fraction form
    13,386.84/20,054.34 = 6,466.20/x
  3. Step 3: Cross multiply
    13,386.84x = 20,054.34 × 6,466.20
  4. Step 4: Simplify right side
    13,386.84x = 129,675,373.31
  5. Step 5: Solve for x
    x = 129,675,373.31/13,386.84
  6. Step 6: Final answer
    x = 9,686.78

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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.