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Finding the Fourth Proportional to 13,705.77, 20,544.95 and 6,315.57

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Solution

The fourth proportional to 13,705.77, 20,544.95 and 6,315.57 is: 9,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.77 : 20,544.95 = 6,315.57 : x
  2. Step 2: Convert to fraction form
    13,705.77/20,544.95 = 6,315.57/x
  3. Step 3: Cross multiply
    13,705.77x = 20,544.95 × 6,315.57
  4. Step 4: Simplify right side
    13,705.77x = 129,753,038.29
  5. Step 5: Solve for x
    x = 129,753,038.29/13,705.77
  6. Step 6: Final answer
    x = 9,467.04

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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.