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Finding the Fourth Proportional to 12,741, 19,117.89 and 6,084.96

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Solution

The fourth proportional to 12,741, 19,117.89 and 6,084.96 is: 9,130.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741 : 19,117.89 = 6,084.96 : x
  2. Step 2: Convert to fraction form
    12,741/19,117.89 = 6,084.96/x
  3. Step 3: Cross multiply
    12,741x = 19,117.89 × 6,084.96
  4. Step 4: Simplify right side
    12,741x = 116,331,595.93
  5. Step 5: Solve for x
    x = 116,331,595.93/12,741
  6. Step 6: Final answer
    x = 9,130.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.