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Finding the Fourth Proportional to 21,088.80, 29,102.22 and 11,657.16

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Solution

The fourth proportional to 21,088.80, 29,102.22 and 11,657.16 is: 16,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,088.80 : 29,102.22 = 11,657.16 : x
  2. Step 2: Convert to fraction form
    21,088.80/29,102.22 = 11,657.16/x
  3. Step 3: Cross multiply
    21,088.80x = 29,102.22 × 11,657.16
  4. Step 4: Simplify right side
    21,088.80x = 339,249,234.90
  5. Step 5: Solve for x
    x = 339,249,234.90/21,088.80
  6. Step 6: Final answer
    x = 16,086.70

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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.