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Finding the Fourth Proportional to 20,421.69, 28,169.69 and 12,854.87

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Solution

The fourth proportional to 20,421.69, 28,169.69 and 12,854.87 is: 17,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,421.69 : 28,169.69 = 12,854.87 : x
  2. Step 2: Convert to fraction form
    20,421.69/28,169.69 = 12,854.87/x
  3. Step 3: Cross multiply
    20,421.69x = 28,169.69 × 12,854.87
  4. Step 4: Simplify right side
    20,421.69x = 362,117,675.71
  5. Step 5: Solve for x
    x = 362,117,675.71/20,421.69
  6. Step 6: Final answer
    x = 17,732.02

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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.