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Finding the Fourth Proportional to 13,495.38, 18,623.64 and 7,831.23

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Solution

The fourth proportional to 13,495.38, 18,623.64 and 7,831.23 is: 10,807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,495.38 : 18,623.64 = 7,831.23 : x
  2. Step 2: Convert to fraction form
    13,495.38/18,623.64 = 7,831.23/x
  3. Step 3: Cross multiply
    13,495.38x = 18,623.64 × 7,831.23
  4. Step 4: Simplify right side
    13,495.38x = 145,846,008.28
  5. Step 5: Solve for x
    x = 145,846,008.28/13,495.38
  6. Step 6: Final answer
    x = 10,807.11

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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.