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Finding the Fourth Proportional to 21,748.95, 32,614.23 and 6,953.88

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Solution

The fourth proportional to 21,748.95, 32,614.23 and 6,953.88 is: 10,427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,748.95 : 32,614.23 = 6,953.88 : x
  2. Step 2: Convert to fraction form
    21,748.95/32,614.23 = 6,953.88/x
  3. Step 3: Cross multiply
    21,748.95x = 32,614.23 × 6,953.88
  4. Step 4: Simplify right side
    21,748.95x = 226,795,441.71
  5. Step 5: Solve for x
    x = 226,795,441.71/21,748.95
  6. Step 6: Final answer
    x = 10,427.88

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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.