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Finding the Fourth Proportional to 20,547.62, 28,355.92 and 11,116.40

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Solution

The fourth proportional to 20,547.62, 28,355.92 and 11,116.40 is: 15,340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547.62 : 28,355.92 = 11,116.40 : x
  2. Step 2: Convert to fraction form
    20,547.62/28,355.92 = 11,116.40/x
  3. Step 3: Cross multiply
    20,547.62x = 28,355.92 × 11,116.40
  4. Step 4: Simplify right side
    20,547.62x = 315,215,749.09
  5. Step 5: Solve for x
    x = 315,215,749.09/20,547.62
  6. Step 6: Final answer
    x = 15,340.74

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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.