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Finding the Fourth Proportional to 20,077.15, 27,706.76 and 12,117.91

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Solution

The fourth proportional to 20,077.15, 27,706.76 and 12,117.91 is: 16,722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.15 : 27,706.76 = 12,117.91 : x
  2. Step 2: Convert to fraction form
    20,077.15/27,706.76 = 12,117.91/x
  3. Step 3: Cross multiply
    20,077.15x = 27,706.76 × 12,117.91
  4. Step 4: Simplify right side
    20,077.15x = 335,748,024.07
  5. Step 5: Solve for x
    x = 335,748,024.07/20,077.15
  6. Step 6: Final answer
    x = 16,722.89

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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.