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Finding the Fourth Proportional to 12,563.06, 17,303.72 and 9,366.10

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Solution

The fourth proportional to 12,563.06, 17,303.72 and 9,366.10 is: 12,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.06 : 17,303.72 = 9,366.10 : x
  2. Step 2: Convert to fraction form
    12,563.06/17,303.72 = 9,366.10/x
  3. Step 3: Cross multiply
    12,563.06x = 17,303.72 × 9,366.10
  4. Step 4: Simplify right side
    12,563.06x = 162,068,371.89
  5. Step 5: Solve for x
    x = 162,068,371.89/12,563.06
  6. Step 6: Final answer
    x = 12,900.39

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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.