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Finding the Fourth Proportional to 14,615.86, 21,924.93 and 5,257.09

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Solution

The fourth proportional to 14,615.86, 21,924.93 and 5,257.09 is: 7,886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,615.86 : 21,924.93 = 5,257.09 : x
  2. Step 2: Convert to fraction form
    14,615.86/21,924.93 = 5,257.09/x
  3. Step 3: Cross multiply
    14,615.86x = 21,924.93 × 5,257.09
  4. Step 4: Simplify right side
    14,615.86x = 115,261,409.47
  5. Step 5: Solve for x
    x = 115,261,409.47/14,615.86
  6. Step 6: Final answer
    x = 7,886.05

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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.