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Finding the Fourth Proportional to 20,827.67, 28,712.29 and 14,848.96

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Solution

The fourth proportional to 20,827.67, 28,712.29 and 14,848.96 is: 20,470.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,827.67 : 28,712.29 = 14,848.96 : x
  2. Step 2: Convert to fraction form
    20,827.67/28,712.29 = 14,848.96/x
  3. Step 3: Cross multiply
    20,827.67x = 28,712.29 × 14,848.96
  4. Step 4: Simplify right side
    20,827.67x = 426,347,645.72
  5. Step 5: Solve for x
    x = 426,347,645.72/20,827.67
  6. Step 6: Final answer
    x = 20,470.25

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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.