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Finding the Fourth Proportional to 15,563.45, 23,345.15 and 5,703.50

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Solution

The fourth proportional to 15,563.45, 23,345.15 and 5,703.50 is: 8,555.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,563.45 : 23,345.15 = 5,703.50 : x
  2. Step 2: Convert to fraction form
    15,563.45/23,345.15 = 5,703.50/x
  3. Step 3: Cross multiply
    15,563.45x = 23,345.15 × 5,703.50
  4. Step 4: Simplify right side
    15,563.45x = 133,149,063.03
  5. Step 5: Solve for x
    x = 133,149,063.03/15,563.45
  6. Step 6: Final answer
    x = 8,555.24

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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.