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Finding the Fourth Proportional to 14,000.02, 21,000.04 and 4,138.53

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Solution

The fourth proportional to 14,000.02, 21,000.04 and 4,138.53 is: 6,207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.02 : 21,000.04 = 4,138.53 : x
  2. Step 2: Convert to fraction form
    14,000.02/21,000.04 = 4,138.53/x
  3. Step 3: Cross multiply
    14,000.02x = 21,000.04 × 4,138.53
  4. Step 4: Simplify right side
    14,000.02x = 86,909,327.35
  5. Step 5: Solve for x
    x = 86,909,327.35/14,000.02
  6. Step 6: Final answer
    x = 6,207.80

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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.