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Finding the Fourth Proportional to 20,561.84, 30,842.76 and 11,802.32

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Solution

The fourth proportional to 20,561.84, 30,842.76 and 11,802.32 is: 17,703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,561.84 : 30,842.76 = 11,802.32 : x
  2. Step 2: Convert to fraction form
    20,561.84/30,842.76 = 11,802.32/x
  3. Step 3: Cross multiply
    20,561.84x = 30,842.76 × 11,802.32
  4. Step 4: Simplify right side
    20,561.84x = 364,016,123.20
  5. Step 5: Solve for x
    x = 364,016,123.20/20,561.84
  6. Step 6: Final answer
    x = 17,703.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.