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Finding the Fourth Proportional to 20,547.68, 28,355.81 and 11,116.22

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Solution

The fourth proportional to 20,547.68, 28,355.81 and 11,116.22 is: 15,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547.68 : 28,355.81 = 11,116.22 : x
  2. Step 2: Convert to fraction form
    20,547.68/28,355.81 = 11,116.22/x
  3. Step 3: Cross multiply
    20,547.68x = 28,355.81 × 11,116.22
  4. Step 4: Simplify right side
    20,547.68x = 315,209,224.88
  5. Step 5: Solve for x
    x = 315,209,224.88/20,547.68
  6. Step 6: Final answer
    x = 15,340.38

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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.