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Finding the Fourth Proportional to 14,471.72, 19,965.18 and 9,440.36

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Solution

The fourth proportional to 14,471.72, 19,965.18 and 9,440.36 is: 13,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.72 : 19,965.18 = 9,440.36 : x
  2. Step 2: Convert to fraction form
    14,471.72/19,965.18 = 9,440.36/x
  3. Step 3: Cross multiply
    14,471.72x = 19,965.18 × 9,440.36
  4. Step 4: Simplify right side
    14,471.72x = 188,478,486.66
  5. Step 5: Solve for x
    x = 188,478,486.66/14,471.72
  6. Step 6: Final answer
    x = 13,023.92

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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.