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Finding the Fourth Proportional to 20,547.53, 28,355.64 and 11,116.10

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Solution

The fourth proportional to 20,547.53, 28,355.64 and 11,116.10 is: 15,340.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547.53 : 28,355.64 = 11,116.10 : x
  2. Step 2: Convert to fraction form
    20,547.53/28,355.64 = 11,116.10/x
  3. Step 3: Cross multiply
    20,547.53x = 28,355.64 × 11,116.10
  4. Step 4: Simplify right side
    20,547.53x = 315,204,129.80
  5. Step 5: Solve for x
    x = 315,204,129.80/20,547.53
  6. Step 6: Final answer
    x = 15,340.24

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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.