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Finding the Fourth Proportional to 17,214.71, 23,746.23 and 10,831.23

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Solution

The fourth proportional to 17,214.71, 23,746.23 and 10,831.23 is: 14,940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,214.71 : 23,746.23 = 10,831.23 : x
  2. Step 2: Convert to fraction form
    17,214.71/23,746.23 = 10,831.23/x
  3. Step 3: Cross multiply
    17,214.71x = 23,746.23 × 10,831.23
  4. Step 4: Simplify right side
    17,214.71x = 257,200,878.76
  5. Step 5: Solve for x
    x = 257,200,878.76/17,214.71
  6. Step 6: Final answer
    x = 14,940.77

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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.