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Finding the Fourth Proportional to 21,666.28, 32,503.26 and 8,157.16

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Solution

The fourth proportional to 21,666.28, 32,503.26 and 8,157.16 is: 12,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,666.28 : 32,503.26 = 8,157.16 : x
  2. Step 2: Convert to fraction form
    21,666.28/32,503.26 = 8,157.16/x
  3. Step 3: Cross multiply
    21,666.28x = 32,503.26 × 8,157.16
  4. Step 4: Simplify right side
    21,666.28x = 265,134,292.34
  5. Step 5: Solve for x
    x = 265,134,292.34/21,666.28
  6. Step 6: Final answer
    x = 12,237.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.