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Finding the Fourth Proportional to 21,102.76, 29,118.36 and 11,669.50

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Solution

The fourth proportional to 21,102.76, 29,118.36 and 11,669.50 is: 16,102.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.76 : 29,118.36 = 11,669.50 : x
  2. Step 2: Convert to fraction form
    21,102.76/29,118.36 = 11,669.50/x
  3. Step 3: Cross multiply
    21,102.76x = 29,118.36 × 11,669.50
  4. Step 4: Simplify right side
    21,102.76x = 339,796,702.02
  5. Step 5: Solve for x
    x = 339,796,702.02/21,102.76
  6. Step 6: Final answer
    x = 16,102.00

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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.