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Finding the Fourth Proportional to 13,182.90, 19,762.44 and 4,857.26

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Solution

The fourth proportional to 13,182.90, 19,762.44 and 4,857.26 is: 7,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.90 : 19,762.44 = 4,857.26 : x
  2. Step 2: Convert to fraction form
    13,182.90/19,762.44 = 4,857.26/x
  3. Step 3: Cross multiply
    13,182.90x = 19,762.44 × 4,857.26
  4. Step 4: Simplify right side
    13,182.90x = 95,991,309.31
  5. Step 5: Solve for x
    x = 95,991,309.31/13,182.90
  6. Step 6: Final answer
    x = 7,281.50

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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.