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Finding the Fourth Proportional to 19,178.96, 26,455.56 and 11,714

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Solution

The fourth proportional to 19,178.96, 26,455.56 and 11,714 is: 16,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,178.96 : 26,455.56 = 11,714 : x
  2. Step 2: Convert to fraction form
    19,178.96/26,455.56 = 11,714/x
  3. Step 3: Cross multiply
    19,178.96x = 26,455.56 × 11,714
  4. Step 4: Simplify right side
    19,178.96x = 309,900,429.84
  5. Step 5: Solve for x
    x = 309,900,429.84/19,178.96
  6. Step 6: Final answer
    x = 16,158.35

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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.