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Finding the Fourth Proportional to 13,735.17, 20,586.15 and 9,831.38

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Solution

The fourth proportional to 13,735.17, 20,586.15 and 9,831.38 is: 14,735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.17 : 20,586.15 = 9,831.38 : x
  2. Step 2: Convert to fraction form
    13,735.17/20,586.15 = 9,831.38/x
  3. Step 3: Cross multiply
    13,735.17x = 20,586.15 × 9,831.38
  4. Step 4: Simplify right side
    13,735.17x = 202,390,160.46
  5. Step 5: Solve for x
    x = 202,390,160.46/13,735.17
  6. Step 6: Final answer
    x = 14,735.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.