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Finding the Fourth Proportional to 17,590.14, 24,274.40 and 9,632.86

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Solution

The fourth proportional to 17,590.14, 24,274.40 and 9,632.86 is: 13,293.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,590.14 : 24,274.40 = 9,632.86 : x
  2. Step 2: Convert to fraction form
    17,590.14/24,274.40 = 9,632.86/x
  3. Step 3: Cross multiply
    17,590.14x = 24,274.40 × 9,632.86
  4. Step 4: Simplify right side
    17,590.14x = 233,831,787.93
  5. Step 5: Solve for x
    x = 233,831,787.93/17,590.14
  6. Step 6: Final answer
    x = 13,293.34

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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.