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Finding the Fourth Proportional to 30,435.84, 41,997.60 and 17,856

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Solution

The fourth proportional to 30,435.84, 41,997.60 and 17,856 is: 24,639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,435.84 : 41,997.60 = 17,856 : x
  2. Step 2: Convert to fraction form
    30,435.84/41,997.60 = 17,856/x
  3. Step 3: Cross multiply
    30,435.84x = 41,997.60 × 17,856
  4. Step 4: Simplify right side
    30,435.84x = 749,909,145.60
  5. Step 5: Solve for x
    x = 749,909,145.60/30,435.84
  6. Step 6: Final answer
    x = 24,639.02

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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.