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Finding the Fourth Proportional to 14,064.60, 21,094.20 and 4,204.20

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Solution

The fourth proportional to 14,064.60, 21,094.20 and 4,204.20 is: 6,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.60 : 21,094.20 = 4,204.20 : x
  2. Step 2: Convert to fraction form
    14,064.60/21,094.20 = 4,204.20/x
  3. Step 3: Cross multiply
    14,064.60x = 21,094.20 × 4,204.20
  4. Step 4: Simplify right side
    14,064.60x = 88,684,235.64
  5. Step 5: Solve for x
    x = 88,684,235.64/14,064.60
  6. Step 6: Final answer
    x = 6,305.49

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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.