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Finding the Fourth Proportional to 14,119.19, 19,486.82 and 7,833.59

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Solution

The fourth proportional to 14,119.19, 19,486.82 and 7,833.59 is: 10,811.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,119.19 : 19,486.82 = 7,833.59 : x
  2. Step 2: Convert to fraction form
    14,119.19/19,486.82 = 7,833.59/x
  3. Step 3: Cross multiply
    14,119.19x = 19,486.82 × 7,833.59
  4. Step 4: Simplify right side
    14,119.19x = 152,651,758.28
  5. Step 5: Solve for x
    x = 152,651,758.28/14,119.19
  6. Step 6: Final answer
    x = 10,811.65

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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.