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Finding the Fourth Proportional to 12,740.42, 17,590.35 and 9,750.92

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Solution

The fourth proportional to 12,740.42, 17,590.35 and 9,750.92 is: 13,462.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,740.42 : 17,590.35 = 9,750.92 : x
  2. Step 2: Convert to fraction form
    12,740.42/17,590.35 = 9,750.92/x
  3. Step 3: Cross multiply
    12,740.42x = 17,590.35 × 9,750.92
  4. Step 4: Simplify right side
    12,740.42x = 171,522,095.62
  5. Step 5: Solve for x
    x = 171,522,095.62/12,740.42
  6. Step 6: Final answer
    x = 13,462.83

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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.