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Finding the Fourth Proportional to 17,619.72, 24,319.10 and 13,783.76

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Solution

The fourth proportional to 17,619.72, 24,319.10 and 13,783.76 is: 19,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,619.72 : 24,319.10 = 13,783.76 : x
  2. Step 2: Convert to fraction form
    17,619.72/24,319.10 = 13,783.76/x
  3. Step 3: Cross multiply
    17,619.72x = 24,319.10 × 13,783.76
  4. Step 4: Simplify right side
    17,619.72x = 335,208,447.30
  5. Step 5: Solve for x
    x = 335,208,447.30/17,619.72
  6. Step 6: Final answer
    x = 19,024.62

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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.