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Finding the Fourth Proportional to 14,119.50, 19,485 and 7,831.89

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Solution

The fourth proportional to 14,119.50, 19,485 and 7,831.89 is: 10,808.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119.50 : 19,485 = 7,831.89 : x
  2. Step 2: Convert to fraction form
    14,119.50/19,485 = 7,831.89/x
  3. Step 3: Cross multiply
    14,119.50x = 19,485 × 7,831.89
  4. Step 4: Simplify right side
    14,119.50x = 152,604,376.65
  5. Step 5: Solve for x
    x = 152,604,376.65/14,119.50
  6. Step 6: Final answer
    x = 10,808.06

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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.