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Finding the Fourth Proportional to 15,924.34, 23,886.44 and 4,078.09

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Solution

The fourth proportional to 15,924.34, 23,886.44 and 4,078.09 is: 6,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,924.34 : 23,886.44 = 4,078.09 : x
  2. Step 2: Convert to fraction form
    15,924.34/23,886.44 = 4,078.09/x
  3. Step 3: Cross multiply
    15,924.34x = 23,886.44 × 4,078.09
  4. Step 4: Simplify right side
    15,924.34x = 97,410,987.29
  5. Step 5: Solve for x
    x = 97,410,987.29/15,924.34
  6. Step 6: Final answer
    x = 6,117.11

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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.