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Finding the Fourth Proportional to 14,465.28, 19,964.16 and 9,505.92

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Solution

The fourth proportional to 14,465.28, 19,964.16 and 9,505.92 is: 13,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,465.28 : 19,964.16 = 9,505.92 : x
  2. Step 2: Convert to fraction form
    14,465.28/19,964.16 = 9,505.92/x
  3. Step 3: Cross multiply
    14,465.28x = 19,964.16 × 9,505.92
  4. Step 4: Simplify right side
    14,465.28x = 189,777,707.83
  5. Step 5: Solve for x
    x = 189,777,707.83/14,465.28
  6. Step 6: Final answer
    x = 13,119.53

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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.