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Finding the Fourth Proportional to 13,705.16, 20,549.76 and 5,375.42

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Solution

The fourth proportional to 13,705.16, 20,549.76 and 5,375.42 is: 8,060.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.16 : 20,549.76 = 5,375.42 : x
  2. Step 2: Convert to fraction form
    13,705.16/20,549.76 = 5,375.42/x
  3. Step 3: Cross multiply
    13,705.16x = 20,549.76 × 5,375.42
  4. Step 4: Simplify right side
    13,705.16x = 110,463,590.90
  5. Step 5: Solve for x
    x = 110,463,590.90/13,705.16
  6. Step 6: Final answer
    x = 8,060.00

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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.