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Finding the Fourth Proportional to 19,214.64, 26,516.40 and 10,831.20

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Solution

The fourth proportional to 19,214.64, 26,516.40 and 10,831.20 is: 14,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,214.64 : 26,516.40 = 10,831.20 : x
  2. Step 2: Convert to fraction form
    19,214.64/26,516.40 = 10,831.20/x
  3. Step 3: Cross multiply
    19,214.64x = 26,516.40 × 10,831.20
  4. Step 4: Simplify right side
    19,214.64x = 287,204,431.68
  5. Step 5: Solve for x
    x = 287,204,431.68/19,214.64
  6. Step 6: Final answer
    x = 14,947.17

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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.