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Finding the Fourth Proportional to 13,953.63, 19,256 and 7,666.41

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Solution

The fourth proportional to 13,953.63, 19,256 and 7,666.41 is: 10,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,953.63 : 19,256 = 7,666.41 : x
  2. Step 2: Convert to fraction form
    13,953.63/19,256 = 7,666.41/x
  3. Step 3: Cross multiply
    13,953.63x = 19,256 × 7,666.41
  4. Step 4: Simplify right side
    13,953.63x = 147,624,390.96
  5. Step 5: Solve for x
    x = 147,624,390.96/13,953.63
  6. Step 6: Final answer
    x = 10,579.64

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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.