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Finding the Fourth Proportional to 13,637.84, 18,829.32 and 8,050.64

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Solution

The fourth proportional to 13,637.84, 18,829.32 and 8,050.64 is: 11,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.84 : 18,829.32 = 8,050.64 : x
  2. Step 2: Convert to fraction form
    13,637.84/18,829.32 = 8,050.64/x
  3. Step 3: Cross multiply
    13,637.84x = 18,829.32 × 8,050.64
  4. Step 4: Simplify right side
    13,637.84x = 151,588,076.76
  5. Step 5: Solve for x
    x = 151,588,076.76/13,637.84
  6. Step 6: Final answer
    x = 11,115.26

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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.