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Finding the Fourth Proportional to 14,742.40, 20,323.02 and 11,199.46

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Solution

The fourth proportional to 14,742.40, 20,323.02 and 11,199.46 is: 15,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742.40 : 20,323.02 = 11,199.46 : x
  2. Step 2: Convert to fraction form
    14,742.40/20,323.02 = 11,199.46/x
  3. Step 3: Cross multiply
    14,742.40x = 20,323.02 × 11,199.46
  4. Step 4: Simplify right side
    14,742.40x = 227,606,849.57
  5. Step 5: Solve for x
    x = 227,606,849.57/14,742.40
  6. Step 6: Final answer
    x = 15,438.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.