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Finding the Fourth Proportional to 14,141.98, 19,516.81 and 7,854.34

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Solution

The fourth proportional to 14,141.98, 19,516.81 and 7,854.34 is: 10,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.98 : 19,516.81 = 7,854.34 : x
  2. Step 2: Convert to fraction form
    14,141.98/19,516.81 = 7,854.34/x
  3. Step 3: Cross multiply
    14,141.98x = 19,516.81 × 7,854.34
  4. Step 4: Simplify right side
    14,141.98x = 153,291,544.24
  5. Step 5: Solve for x
    x = 153,291,544.24/14,141.98
  6. Step 6: Final answer
    x = 10,839.47

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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.