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Finding the Fourth Proportional to 14,207.71, 19,606.63 and 7,834.41

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Solution

The fourth proportional to 14,207.71, 19,606.63 and 7,834.41 is: 10,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,207.71 : 19,606.63 = 7,834.41 : x
  2. Step 2: Convert to fraction form
    14,207.71/19,606.63 = 7,834.41/x
  3. Step 3: Cross multiply
    14,207.71x = 19,606.63 × 7,834.41
  4. Step 4: Simplify right side
    14,207.71x = 153,606,378.14
  5. Step 5: Solve for x
    x = 153,606,378.14/14,207.71
  6. Step 6: Final answer
    x = 10,811.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.