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Finding the Fourth Proportional to 19,776.69, 27,291.74 and 10,824.03

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Solution

The fourth proportional to 19,776.69, 27,291.74 and 10,824.03 is: 14,937.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,776.69 : 27,291.74 = 10,824.03 : x
  2. Step 2: Convert to fraction form
    19,776.69/27,291.74 = 10,824.03/x
  3. Step 3: Cross multiply
    19,776.69x = 27,291.74 × 10,824.03
  4. Step 4: Simplify right side
    19,776.69x = 295,406,558.39
  5. Step 5: Solve for x
    x = 295,406,558.39/19,776.69
  6. Step 6: Final answer
    x = 14,937.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.