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Finding the Fourth Proportional to 11,948.29, 17,924.15 and 4,051.50

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Solution

The fourth proportional to 11,948.29, 17,924.15 and 4,051.50 is: 6,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.29 : 17,924.15 = 4,051.50 : x
  2. Step 2: Convert to fraction form
    11,948.29/17,924.15 = 4,051.50/x
  3. Step 3: Cross multiply
    11,948.29x = 17,924.15 × 4,051.50
  4. Step 4: Simplify right side
    11,948.29x = 72,619,636.64
  5. Step 5: Solve for x
    x = 72,619,636.64/11,948.29
  6. Step 6: Final answer
    x = 6,077.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.