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Finding the Fourth Proportional to 14,410.71, 19,882.20 and 11,376.24

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Solution

The fourth proportional to 14,410.71, 19,882.20 and 11,376.24 is: 15,695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.71 : 19,882.20 = 11,376.24 : x
  2. Step 2: Convert to fraction form
    14,410.71/19,882.20 = 11,376.24/x
  3. Step 3: Cross multiply
    14,410.71x = 19,882.20 × 11,376.24
  4. Step 4: Simplify right side
    14,410.71x = 226,184,678.93
  5. Step 5: Solve for x
    x = 226,184,678.93/14,410.71
  6. Step 6: Final answer
    x = 15,695.60

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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.