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Finding the Fourth Proportional to 13,730.92, 20,547.14 and 11,888.38

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Solution

The fourth proportional to 13,730.92, 20,547.14 and 11,888.38 is: 17,789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.92 : 20,547.14 = 11,888.38 : x
  2. Step 2: Convert to fraction form
    13,730.92/20,547.14 = 11,888.38/x
  3. Step 3: Cross multiply
    13,730.92x = 20,547.14 × 11,888.38
  4. Step 4: Simplify right side
    13,730.92x = 244,272,208.23
  5. Step 5: Solve for x
    x = 244,272,208.23/13,730.92
  6. Step 6: Final answer
    x = 17,789.94

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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.