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Finding the Fourth Proportional to 28,151.10, 38,842.42 and 17,946

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Solution

The fourth proportional to 28,151.10, 38,842.42 and 17,946 is: 24,761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,151.10 : 38,842.42 = 17,946 : x
  2. Step 2: Convert to fraction form
    28,151.10/38,842.42 = 17,946/x
  3. Step 3: Cross multiply
    28,151.10x = 38,842.42 × 17,946
  4. Step 4: Simplify right side
    28,151.10x = 697,066,069.32
  5. Step 5: Solve for x
    x = 697,066,069.32/28,151.10
  6. Step 6: Final answer
    x = 24,761.59

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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.