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Finding the Fourth Proportional to 14,810.31, 20,429.01 and 9,146.79

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Solution

The fourth proportional to 14,810.31, 20,429.01 and 9,146.79 is: 12,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,810.31 : 20,429.01 = 9,146.79 : x
  2. Step 2: Convert to fraction form
    14,810.31/20,429.01 = 9,146.79/x
  3. Step 3: Cross multiply
    14,810.31x = 20,429.01 × 9,146.79
  4. Step 4: Simplify right side
    14,810.31x = 186,859,864.38
  5. Step 5: Solve for x
    x = 186,859,864.38/14,810.31
  6. Step 6: Final answer
    x = 12,616.88

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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.