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Finding the Fourth Proportional to 14,009.64, 21,014.76 and 4,149.12

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Solution

The fourth proportional to 14,009.64, 21,014.76 and 4,149.12 is: 6,223.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.64 : 21,014.76 = 4,149.12 : x
  2. Step 2: Convert to fraction form
    14,009.64/21,014.76 = 4,149.12/x
  3. Step 3: Cross multiply
    14,009.64x = 21,014.76 × 4,149.12
  4. Step 4: Simplify right side
    14,009.64x = 87,192,761.01
  5. Step 5: Solve for x
    x = 87,192,761.01/14,009.64
  6. Step 6: Final answer
    x = 6,223.77

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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.