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Finding the Fourth Proportional to 21,089.32, 29,102.18 and 11,657.28

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Solution

The fourth proportional to 21,089.32, 29,102.18 and 11,657.28 is: 16,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,089.32 : 29,102.18 = 11,657.28 : x
  2. Step 2: Convert to fraction form
    21,089.32/29,102.18 = 11,657.28/x
  3. Step 3: Cross multiply
    21,089.32x = 29,102.18 × 11,657.28
  4. Step 4: Simplify right side
    21,089.32x = 339,252,260.87
  5. Step 5: Solve for x
    x = 339,252,260.87/21,089.32
  6. Step 6: Final answer
    x = 16,086.45

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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.