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Finding the Fourth Proportional to 13,831.68, 19,087.78 and 7,543.92

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Solution

The fourth proportional to 13,831.68, 19,087.78 and 7,543.92 is: 10,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.68 : 19,087.78 = 7,543.92 : x
  2. Step 2: Convert to fraction form
    13,831.68/19,087.78 = 7,543.92/x
  3. Step 3: Cross multiply
    13,831.68x = 19,087.78 × 7,543.92
  4. Step 4: Simplify right side
    13,831.68x = 143,996,685.30
  5. Step 5: Solve for x
    x = 143,996,685.30/13,831.68
  6. Step 6: Final answer
    x = 10,410.64

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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.