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Finding the Fourth Proportional to 12,555.16, 17,328.56 and 8,306.44

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Solution

The fourth proportional to 12,555.16, 17,328.56 and 8,306.44 is: 11,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,555.16 : 17,328.56 = 8,306.44 : x
  2. Step 2: Convert to fraction form
    12,555.16/17,328.56 = 8,306.44/x
  3. Step 3: Cross multiply
    12,555.16x = 17,328.56 × 8,306.44
  4. Step 4: Simplify right side
    12,555.16x = 143,938,643.93
  5. Step 5: Solve for x
    x = 143,938,643.93/12,555.16
  6. Step 6: Final answer
    x = 11,464.50

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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.