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Finding the Fourth Proportional to 12,328.41, 17,008.43 and 7,851.36

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Solution

The fourth proportional to 12,328.41, 17,008.43 and 7,851.36 is: 10,831.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.41 : 17,008.43 = 7,851.36 : x
  2. Step 2: Convert to fraction form
    12,328.41/17,008.43 = 7,851.36/x
  3. Step 3: Cross multiply
    12,328.41x = 17,008.43 × 7,851.36
  4. Step 4: Simplify right side
    12,328.41x = 133,539,267.71
  5. Step 5: Solve for x
    x = 133,539,267.71/12,328.41
  6. Step 6: Final answer
    x = 10,831.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.