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Finding the Fourth Proportional to 19,783.14, 29,637.42 and 15,379.20

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Solution

The fourth proportional to 19,783.14, 29,637.42 and 15,379.20 is: 23,039.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.14 : 29,637.42 = 15,379.20 : x
  2. Step 2: Convert to fraction form
    19,783.14/29,637.42 = 15,379.20/x
  3. Step 3: Cross multiply
    19,783.14x = 29,637.42 × 15,379.20
  4. Step 4: Simplify right side
    19,783.14x = 455,799,809.66
  5. Step 5: Solve for x
    x = 455,799,809.66/19,783.14
  6. Step 6: Final answer
    x = 23,039.81

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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.