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Finding the Fourth Proportional to 14,326.14, 21,486.42 and 7,208.49

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Solution

The fourth proportional to 14,326.14, 21,486.42 and 7,208.49 is: 10,811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,326.14 : 21,486.42 = 7,208.49 : x
  2. Step 2: Convert to fraction form
    14,326.14/21,486.42 = 7,208.49/x
  3. Step 3: Cross multiply
    14,326.14x = 21,486.42 × 7,208.49
  4. Step 4: Simplify right side
    14,326.14x = 154,884,643.71
  5. Step 5: Solve for x
    x = 154,884,643.71/14,326.14
  6. Step 6: Final answer
    x = 10,811.33

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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.