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Finding the Fourth Proportional to 17,976.96, 24,809.05 and 10,019.24

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Solution

The fourth proportional to 17,976.96, 24,809.05 and 10,019.24 is: 13,827.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,976.96 : 24,809.05 = 10,019.24 : x
  2. Step 2: Convert to fraction form
    17,976.96/24,809.05 = 10,019.24/x
  3. Step 3: Cross multiply
    17,976.96x = 24,809.05 × 10,019.24
  4. Step 4: Simplify right side
    17,976.96x = 248,567,779.46
  5. Step 5: Solve for x
    x = 248,567,779.46/17,976.96
  6. Step 6: Final answer
    x = 13,827.02

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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.