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Finding the Fourth Proportional to 14,463.63, 19,960.70 and 8,176.01

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Solution

The fourth proportional to 14,463.63, 19,960.70 and 8,176.01 is: 11,283.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,463.63 : 19,960.70 = 8,176.01 : x
  2. Step 2: Convert to fraction form
    14,463.63/19,960.70 = 8,176.01/x
  3. Step 3: Cross multiply
    14,463.63x = 19,960.70 × 8,176.01
  4. Step 4: Simplify right side
    14,463.63x = 163,198,742.12
  5. Step 5: Solve for x
    x = 163,198,742.12/14,463.63
  6. Step 6: Final answer
    x = 11,283.39

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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.