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Finding the Fourth Proportional to 19,547.19, 26,976.50 and 11,049.38

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Solution

The fourth proportional to 19,547.19, 26,976.50 and 11,049.38 is: 15,248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,547.19 : 26,976.50 = 11,049.38 : x
  2. Step 2: Convert to fraction form
    19,547.19/26,976.50 = 11,049.38/x
  3. Step 3: Cross multiply
    19,547.19x = 26,976.50 × 11,049.38
  4. Step 4: Simplify right side
    19,547.19x = 298,073,611.76
  5. Step 5: Solve for x
    x = 298,073,611.76/19,547.19
  6. Step 6: Final answer
    x = 15,248.92

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Why These Related Problems?

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