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Finding the Fourth Proportional to 14,080.23, 19,424.88 and 9,043.38

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Solution

The fourth proportional to 14,080.23, 19,424.88 and 9,043.38 is: 12,476.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,080.23 : 19,424.88 = 9,043.38 : x
  2. Step 2: Convert to fraction form
    14,080.23/19,424.88 = 9,043.38/x
  3. Step 3: Cross multiply
    14,080.23x = 19,424.88 × 9,043.38
  4. Step 4: Simplify right side
    14,080.23x = 175,666,571.29
  5. Step 5: Solve for x
    x = 175,666,571.29/14,080.23
  6. Step 6: Final answer
    x = 12,476.12

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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.