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Finding the Fourth Proportional to 14,282.66, 21,437.13 and 7,267.58

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Solution

The fourth proportional to 14,282.66, 21,437.13 and 7,267.58 is: 10,908.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,282.66 : 21,437.13 = 7,267.58 : x
  2. Step 2: Convert to fraction form
    14,282.66/21,437.13 = 7,267.58/x
  3. Step 3: Cross multiply
    14,282.66x = 21,437.13 × 7,267.58
  4. Step 4: Simplify right side
    14,282.66x = 155,796,057.25
  5. Step 5: Solve for x
    x = 155,796,057.25/14,282.66
  6. Step 6: Final answer
    x = 10,908.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.