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Finding the Fourth Proportional to 20,707.65, 28,577.71 and 12,214.77

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Solution

The fourth proportional to 20,707.65, 28,577.71 and 12,214.77 is: 16,857.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,707.65 : 28,577.71 = 12,214.77 : x
  2. Step 2: Convert to fraction form
    20,707.65/28,577.71 = 12,214.77/x
  3. Step 3: Cross multiply
    20,707.65x = 28,577.71 × 12,214.77
  4. Step 4: Simplify right side
    20,707.65x = 349,070,062.88
  5. Step 5: Solve for x
    x = 349,070,062.88/20,707.65
  6. Step 6: Final answer
    x = 16,857.06

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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.