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Finding the Fourth Proportional to 21,395.64, 29,526 and 11,964.24

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Solution

The fourth proportional to 21,395.64, 29,526 and 11,964.24 is: 16,510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,395.64 : 29,526 = 11,964.24 : x
  2. Step 2: Convert to fraction form
    21,395.64/29,526 = 11,964.24/x
  3. Step 3: Cross multiply
    21,395.64x = 29,526 × 11,964.24
  4. Step 4: Simplify right side
    21,395.64x = 353,256,150.24
  5. Step 5: Solve for x
    x = 353,256,150.24/21,395.64
  6. Step 6: Final answer
    x = 16,510.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.