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Finding the Fourth Proportional to 12,454.83, 17,189.55 and 7,740.63

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Solution

The fourth proportional to 12,454.83, 17,189.55 and 7,740.63 is: 10,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.83 : 17,189.55 = 7,740.63 : x
  2. Step 2: Convert to fraction form
    12,454.83/17,189.55 = 7,740.63/x
  3. Step 3: Cross multiply
    12,454.83x = 17,189.55 × 7,740.63
  4. Step 4: Simplify right side
    12,454.83x = 133,057,946.42
  5. Step 5: Solve for x
    x = 133,057,946.42/12,454.83
  6. Step 6: Final answer
    x = 10,683.24

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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.