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Finding the Fourth Proportional to 21,385.28, 29,510.72 and 11,952

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Solution

The fourth proportional to 21,385.28, 29,510.72 and 11,952 is: 16,493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,385.28 : 29,510.72 = 11,952 : x
  2. Step 2: Convert to fraction form
    21,385.28/29,510.72 = 11,952/x
  3. Step 3: Cross multiply
    21,385.28x = 29,510.72 × 11,952
  4. Step 4: Simplify right side
    21,385.28x = 352,712,125.44
  5. Step 5: Solve for x
    x = 352,712,125.44/21,385.28
  6. Step 6: Final answer
    x = 16,493.22

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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.