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Finding the Fourth Proportional to 12,563.04, 17,329.32 and 9,031.04

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Solution

The fourth proportional to 12,563.04, 17,329.32 and 9,031.04 is: 12,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.04 : 17,329.32 = 9,031.04 : x
  2. Step 2: Convert to fraction form
    12,563.04/17,329.32 = 9,031.04/x
  3. Step 3: Cross multiply
    12,563.04x = 17,329.32 × 9,031.04
  4. Step 4: Simplify right side
    12,563.04x = 156,501,782.09
  5. Step 5: Solve for x
    x = 156,501,782.09/12,563.04
  6. Step 6: Final answer
    x = 12,457.32

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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.