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Finding the Fourth Proportional to 19,913.76, 27,451.52 and 12,742.92

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Solution

The fourth proportional to 19,913.76, 27,451.52 and 12,742.92 is: 17,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,913.76 : 27,451.52 = 12,742.92 : x
  2. Step 2: Convert to fraction form
    19,913.76/27,451.52 = 12,742.92/x
  3. Step 3: Cross multiply
    19,913.76x = 27,451.52 × 12,742.92
  4. Step 4: Simplify right side
    19,913.76x = 349,812,523.24
  5. Step 5: Solve for x
    x = 349,812,523.24/19,913.76
  6. Step 6: Final answer
    x = 17,566.37

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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.