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Finding the Fourth Proportional to 19,813.68, 27,341.28 and 11,430.72

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Solution

The fourth proportional to 19,813.68, 27,341.28 and 11,430.72 is: 15,773.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,813.68 : 27,341.28 = 11,430.72 : x
  2. Step 2: Convert to fraction form
    19,813.68/27,341.28 = 11,430.72/x
  3. Step 3: Cross multiply
    19,813.68x = 27,341.28 × 11,430.72
  4. Step 4: Simplify right side
    19,813.68x = 312,530,516.12
  5. Step 5: Solve for x
    x = 312,530,516.12/19,813.68
  6. Step 6: Final answer
    x = 15,773.47

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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.