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Finding the Fourth Proportional to 13,831.10, 19,086.87 and 7,543.42

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Solution

The fourth proportional to 13,831.10, 19,086.87 and 7,543.42 is: 10,409.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.10 : 19,086.87 = 7,543.42 : x
  2. Step 2: Convert to fraction form
    13,831.10/19,086.87 = 7,543.42/x
  3. Step 3: Cross multiply
    13,831.10x = 19,086.87 × 7,543.42
  4. Step 4: Simplify right side
    13,831.10x = 143,980,276.90
  5. Step 5: Solve for x
    x = 143,980,276.90/13,831.10
  6. Step 6: Final answer
    x = 10,409.89

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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.