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Finding the Fourth Proportional to 14,141.81, 19,516.31 and 7,854.19

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Solution

The fourth proportional to 14,141.81, 19,516.31 and 7,854.19 is: 10,839.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.81 : 19,516.31 = 7,854.19 : x
  2. Step 2: Convert to fraction form
    14,141.81/19,516.31 = 7,854.19/x
  3. Step 3: Cross multiply
    14,141.81x = 19,516.31 × 7,854.19
  4. Step 4: Simplify right side
    14,141.81x = 153,284,748.23
  5. Step 5: Solve for x
    x = 153,284,748.23/14,141.81
  6. Step 6: Final answer
    x = 10,839.12

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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.