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Finding the Fourth Proportional to 12,831.57, 17,717.58 and 9,842.67

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Solution

The fourth proportional to 12,831.57, 17,717.58 and 9,842.67 is: 13,590.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.57 : 17,717.58 = 9,842.67 : x
  2. Step 2: Convert to fraction form
    12,831.57/17,717.58 = 9,842.67/x
  3. Step 3: Cross multiply
    12,831.57x = 17,717.58 × 9,842.67
  4. Step 4: Simplify right side
    12,831.57x = 174,388,293.14
  5. Step 5: Solve for x
    x = 174,388,293.14/12,831.57
  6. Step 6: Final answer
    x = 13,590.57

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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.