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Finding the Fourth Proportional to 20,547.86, 28,356.08 and 11,116.42

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Solution

The fourth proportional to 20,547.86, 28,356.08 and 11,116.42 is: 15,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,547.86 : 28,356.08 = 11,116.42 : x
  2. Step 2: Convert to fraction form
    20,547.86/28,356.08 = 11,116.42/x
  3. Step 3: Cross multiply
    20,547.86x = 28,356.08 × 11,116.42
  4. Step 4: Simplify right side
    20,547.86x = 315,217,968.36
  5. Step 5: Solve for x
    x = 315,217,968.36/20,547.86
  6. Step 6: Final answer
    x = 15,340.68

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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.