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Finding the Fourth Proportional to 21,493.14, 32,236.06 and 9,803.62

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Solution

The fourth proportional to 21,493.14, 32,236.06 and 9,803.62 is: 14,703.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,493.14 : 32,236.06 = 9,803.62 : x
  2. Step 2: Convert to fraction form
    21,493.14/32,236.06 = 9,803.62/x
  3. Step 3: Cross multiply
    21,493.14x = 32,236.06 × 9,803.62
  4. Step 4: Simplify right side
    21,493.14x = 316,030,082.54
  5. Step 5: Solve for x
    x = 316,030,082.54/21,493.14
  6. Step 6: Final answer
    x = 14,703.77

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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.