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Finding the Fourth Proportional to 21,152.34, 29,189.16 and 11,722.32

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Solution

The fourth proportional to 21,152.34, 29,189.16 and 11,722.32 is: 16,176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152.34 : 29,189.16 = 11,722.32 : x
  2. Step 2: Convert to fraction form
    21,152.34/29,189.16 = 11,722.32/x
  3. Step 3: Cross multiply
    21,152.34x = 29,189.16 × 11,722.32
  4. Step 4: Simplify right side
    21,152.34x = 342,164,674.05
  5. Step 5: Solve for x
    x = 342,164,674.05/21,152.34
  6. Step 6: Final answer
    x = 16,176.21

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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.