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Finding the Fourth Proportional to 17,455, 24,078.54 and 12,140.58

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Solution

The fourth proportional to 17,455, 24,078.54 and 12,140.58 is: 16,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,455 : 24,078.54 = 12,140.58 : x
  2. Step 2: Convert to fraction form
    17,455/24,078.54 = 12,140.58/x
  3. Step 3: Cross multiply
    17,455x = 24,078.54 × 12,140.58
  4. Step 4: Simplify right side
    17,455x = 292,327,441.15
  5. Step 5: Solve for x
    x = 292,327,441.15/17,455
  6. Step 6: Final answer
    x = 16,747.49

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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.