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Finding the Fourth Proportional to 13,943, 19,241.38 and 7,569.58

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Solution

The fourth proportional to 13,943, 19,241.38 and 7,569.58 is: 10,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,943 : 19,241.38 = 7,569.58 : x
  2. Step 2: Convert to fraction form
    13,943/19,241.38 = 7,569.58/x
  3. Step 3: Cross multiply
    13,943x = 19,241.38 × 7,569.58
  4. Step 4: Simplify right side
    13,943x = 145,649,165.22
  5. Step 5: Solve for x
    x = 145,649,165.22/13,943
  6. Step 6: Final answer
    x = 10,446.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.