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Finding the Fourth Proportional to 13,705.53, 20,548.57 and 5,916.57

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Solution

The fourth proportional to 13,705.53, 20,548.57 and 5,916.57 is: 8,870.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.53 : 20,548.57 = 5,916.57 : x
  2. Step 2: Convert to fraction form
    13,705.53/20,548.57 = 5,916.57/x
  3. Step 3: Cross multiply
    13,705.53x = 20,548.57 × 5,916.57
  4. Step 4: Simplify right side
    13,705.53x = 121,577,052.80
  5. Step 5: Solve for x
    x = 121,577,052.80/13,705.53
  6. Step 6: Final answer
    x = 8,870.66

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Why These Related Problems?

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