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Finding the Fourth Proportional to 20,842.68, 28,762.58 and 11,411.24

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Solution

The fourth proportional to 20,842.68, 28,762.58 and 11,411.24 is: 15,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.68 : 28,762.58 = 11,411.24 : x
  2. Step 2: Convert to fraction form
    20,842.68/28,762.58 = 11,411.24/x
  3. Step 3: Cross multiply
    20,842.68x = 28,762.58 × 11,411.24
  4. Step 4: Simplify right side
    20,842.68x = 328,216,646.34
  5. Step 5: Solve for x
    x = 328,216,646.34/20,842.68
  6. Step 6: Final answer
    x = 15,747.33

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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.