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Finding the Fourth Proportional to 21,376.35, 32,065.08 and 10,129.07

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Solution

The fourth proportional to 21,376.35, 32,065.08 and 10,129.07 is: 15,193.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,376.35 : 32,065.08 = 10,129.07 : x
  2. Step 2: Convert to fraction form
    21,376.35/32,065.08 = 10,129.07/x
  3. Step 3: Cross multiply
    21,376.35x = 32,065.08 × 10,129.07
  4. Step 4: Simplify right side
    21,376.35x = 324,789,279.55
  5. Step 5: Solve for x
    x = 324,789,279.55/21,376.35
  6. Step 6: Final answer
    x = 15,193.86

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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.