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Finding the Fourth Proportional to 14,119.48, 19,484.89 and 7,831.86

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Solution

The fourth proportional to 14,119.48, 19,484.89 and 7,831.86 is: 10,807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119.48 : 19,484.89 = 7,831.86 : x
  2. Step 2: Convert to fraction form
    14,119.48/19,484.89 = 7,831.86/x
  3. Step 3: Cross multiply
    14,119.48x = 19,484.89 × 7,831.86
  4. Step 4: Simplify right side
    14,119.48x = 152,602,930.60
  5. Step 5: Solve for x
    x = 152,602,930.60/14,119.48
  6. Step 6: Final answer
    x = 10,807.97

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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.