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Finding the Fourth Proportional to 21,538.06, 32,307.05 and 6,748.11

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Solution

The fourth proportional to 21,538.06, 32,307.05 and 6,748.11 is: 10,122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.06 : 32,307.05 = 6,748.11 : x
  2. Step 2: Convert to fraction form
    21,538.06/32,307.05 = 6,748.11/x
  3. Step 3: Cross multiply
    21,538.06x = 32,307.05 × 6,748.11
  4. Step 4: Simplify right side
    21,538.06x = 218,011,544.05
  5. Step 5: Solve for x
    x = 218,011,544.05/21,538.06
  6. Step 6: Final answer
    x = 10,122.15

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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.