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Finding the Fourth Proportional to 30,040.08, 41,457.84 and 17,464

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Solution

The fourth proportional to 30,040.08, 41,457.84 and 17,464 is: 24,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,040.08 : 41,457.84 = 17,464 : x
  2. Step 2: Convert to fraction form
    30,040.08/41,457.84 = 17,464/x
  3. Step 3: Cross multiply
    30,040.08x = 41,457.84 × 17,464
  4. Step 4: Simplify right side
    30,040.08x = 724,019,717.76
  5. Step 5: Solve for x
    x = 724,019,717.76/30,040.08
  6. Step 6: Final answer
    x = 24,101.79

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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.