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Finding the Fourth Proportional to 30,805.76, 42,510.18 and 17,376.21

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Solution

The fourth proportional to 30,805.76, 42,510.18 and 17,376.21 is: 23,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.76 : 42,510.18 = 17,376.21 : x
  2. Step 2: Convert to fraction form
    30,805.76/42,510.18 = 17,376.21/x
  3. Step 3: Cross multiply
    30,805.76x = 42,510.18 × 17,376.21
  4. Step 4: Simplify right side
    30,805.76x = 738,665,814.82
  5. Step 5: Solve for x
    x = 738,665,814.82/30,805.76
  6. Step 6: Final answer
    x = 23,978.18

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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.