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Finding the Fourth Proportional to 15,785.12, 21,784.32 and 8,711.52

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Solution

The fourth proportional to 15,785.12, 21,784.32 and 8,711.52 is: 12,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.12 : 21,784.32 = 8,711.52 : x
  2. Step 2: Convert to fraction form
    15,785.12/21,784.32 = 8,711.52/x
  3. Step 3: Cross multiply
    15,785.12x = 21,784.32 × 8,711.52
  4. Step 4: Simplify right side
    15,785.12x = 189,774,539.37
  5. Step 5: Solve for x
    x = 189,774,539.37/15,785.12
  6. Step 6: Final answer
    x = 12,022.37

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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.