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Finding the Fourth Proportional to 14,534.64, 21,797.64 and 5,301.36

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Solution

The fourth proportional to 14,534.64, 21,797.64 and 5,301.36 is: 7,950.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.64 : 21,797.64 = 5,301.36 : x
  2. Step 2: Convert to fraction form
    14,534.64/21,797.64 = 5,301.36/x
  3. Step 3: Cross multiply
    14,534.64x = 21,797.64 × 5,301.36
  4. Step 4: Simplify right side
    14,534.64x = 115,557,136.79
  5. Step 5: Solve for x
    x = 115,557,136.79/14,534.64
  6. Step 6: Final answer
    x = 7,950.46

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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.