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Finding the Fourth Proportional to 14,119.01, 19,484.24 and 7,831.38

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Solution

The fourth proportional to 14,119.01, 19,484.24 and 7,831.38 is: 10,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119.01 : 19,484.24 = 7,831.38 : x
  2. Step 2: Convert to fraction form
    14,119.01/19,484.24 = 7,831.38/x
  3. Step 3: Cross multiply
    14,119.01x = 19,484.24 × 7,831.38
  4. Step 4: Simplify right side
    14,119.01x = 152,588,507.03
  5. Step 5: Solve for x
    x = 152,588,507.03/14,119.01
  6. Step 6: Final answer
    x = 10,807.31

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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.