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Finding the Fourth Proportional to 19,513, 29,273.19 and 7,827.13

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Solution

The fourth proportional to 19,513, 29,273.19 and 7,827.13 is: 11,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,513 : 29,273.19 = 7,827.13 : x
  2. Step 2: Convert to fraction form
    19,513/29,273.19 = 7,827.13/x
  3. Step 3: Cross multiply
    19,513x = 29,273.19 × 7,827.13
  4. Step 4: Simplify right side
    19,513x = 229,125,063.64
  5. Step 5: Solve for x
    x = 229,125,063.64/19,513
  6. Step 6: Final answer
    x = 11,742.18

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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.