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Finding the Fourth Proportional to 20,497.86, 28,294.13 and 12,002.72

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Solution

The fourth proportional to 20,497.86, 28,294.13 and 12,002.72 is: 16,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.86 : 28,294.13 = 12,002.72 : x
  2. Step 2: Convert to fraction form
    20,497.86/28,294.13 = 12,002.72/x
  3. Step 3: Cross multiply
    20,497.86x = 28,294.13 × 12,002.72
  4. Step 4: Simplify right side
    20,497.86x = 339,606,341.05
  5. Step 5: Solve for x
    x = 339,606,341.05/20,497.86
  6. Step 6: Final answer
    x = 16,567.89

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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.