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Finding the Fourth Proportional to 14,141.96, 19,516.58 and 7,853.96

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Solution

The fourth proportional to 14,141.96, 19,516.58 and 7,853.96 is: 10,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.96 : 19,516.58 = 7,853.96 : x
  2. Step 2: Convert to fraction form
    14,141.96/19,516.58 = 7,853.96/x
  3. Step 3: Cross multiply
    14,141.96x = 19,516.58 × 7,853.96
  4. Step 4: Simplify right side
    14,141.96x = 153,282,438.66
  5. Step 5: Solve for x
    x = 153,282,438.66/14,141.96
  6. Step 6: Final answer
    x = 10,838.84

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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.