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Finding the Fourth Proportional to 20,842.88, 28,762.40 and 11,411.52

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Solution

The fourth proportional to 20,842.88, 28,762.40 and 11,411.52 is: 15,747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,842.88 : 28,762.40 = 11,411.52 : x
  2. Step 2: Convert to fraction form
    20,842.88/28,762.40 = 11,411.52/x
  3. Step 3: Cross multiply
    20,842.88x = 28,762.40 × 11,411.52
  4. Step 4: Simplify right side
    20,842.88x = 328,222,702.85
  5. Step 5: Solve for x
    x = 328,222,702.85/20,842.88
  6. Step 6: Final answer
    x = 15,747.47

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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.