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Finding the Fourth Proportional to 30,293.84, 41,805 and 17,720.72

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Solution

The fourth proportional to 30,293.84, 41,805 and 17,720.72 is: 24,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,293.84 : 41,805 = 17,720.72 : x
  2. Step 2: Convert to fraction form
    30,293.84/41,805 = 17,720.72/x
  3. Step 3: Cross multiply
    30,293.84x = 41,805 × 17,720.72
  4. Step 4: Simplify right side
    30,293.84x = 740,814,699.60
  5. Step 5: Solve for x
    x = 740,814,699.60/30,293.84
  6. Step 6: Final answer
    x = 24,454.30

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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.