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Finding the Fourth Proportional to 20,787.50, 28,686.75 and 11,356.07

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Solution

The fourth proportional to 20,787.50, 28,686.75 and 11,356.07 is: 15,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,787.50 : 28,686.75 = 11,356.07 : x
  2. Step 2: Convert to fraction form
    20,787.50/28,686.75 = 11,356.07/x
  3. Step 3: Cross multiply
    20,787.50x = 28,686.75 × 11,356.07
  4. Step 4: Simplify right side
    20,787.50x = 325,768,741.07
  5. Step 5: Solve for x
    x = 325,768,741.07/20,787.50
  6. Step 6: Final answer
    x = 15,671.38

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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.