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Finding the Fourth Proportional to 15,182.08, 22,783.41 and 5,321.50

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Solution

The fourth proportional to 15,182.08, 22,783.41 and 5,321.50 is: 7,985.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,182.08 : 22,783.41 = 5,321.50 : x
  2. Step 2: Convert to fraction form
    15,182.08/22,783.41 = 5,321.50/x
  3. Step 3: Cross multiply
    15,182.08x = 22,783.41 × 5,321.50
  4. Step 4: Simplify right side
    15,182.08x = 121,241,916.32
  5. Step 5: Solve for x
    x = 121,241,916.32/15,182.08
  6. Step 6: Final answer
    x = 7,985.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.