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Finding the Fourth Proportional to 15,114.56, 20,858 and 8,400.08

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Solution

The fourth proportional to 15,114.56, 20,858 and 8,400.08 is: 11,592.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114.56 : 20,858 = 8,400.08 : x
  2. Step 2: Convert to fraction form
    15,114.56/20,858 = 8,400.08/x
  3. Step 3: Cross multiply
    15,114.56x = 20,858 × 8,400.08
  4. Step 4: Simplify right side
    15,114.56x = 175,208,868.64
  5. Step 5: Solve for x
    x = 175,208,868.64/15,114.56
  6. Step 6: Final answer
    x = 11,592.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.