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Finding the Fourth Proportional to 19,904.67, 27,468.99 and 11,407.50

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Solution

The fourth proportional to 19,904.67, 27,468.99 and 11,407.50 is: 15,742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,904.67 : 27,468.99 = 11,407.50 : x
  2. Step 2: Convert to fraction form
    19,904.67/27,468.99 = 11,407.50/x
  3. Step 3: Cross multiply
    19,904.67x = 27,468.99 × 11,407.50
  4. Step 4: Simplify right side
    19,904.67x = 313,352,503.43
  5. Step 5: Solve for x
    x = 313,352,503.43/19,904.67
  6. Step 6: Final answer
    x = 15,742.66

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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.