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Finding the Fourth Proportional to 14,040, 21,047.04 and 5,268.96

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Solution

The fourth proportional to 14,040, 21,047.04 and 5,268.96 is: 7,898.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,040 : 21,047.04 = 5,268.96 : x
  2. Step 2: Convert to fraction form
    14,040/21,047.04 = 5,268.96/x
  3. Step 3: Cross multiply
    14,040x = 21,047.04 × 5,268.96
  4. Step 4: Simplify right side
    14,040x = 110,896,011.88
  5. Step 5: Solve for x
    x = 110,896,011.88/14,040
  6. Step 6: Final answer
    x = 7,898.58

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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.