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Finding the Fourth Proportional to 12,597.42, 18,899.37 and 9,043.65

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Solution

The fourth proportional to 12,597.42, 18,899.37 and 9,043.65 is: 13,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.42 : 18,899.37 = 9,043.65 : x
  2. Step 2: Convert to fraction form
    12,597.42/18,899.37 = 9,043.65/x
  3. Step 3: Cross multiply
    12,597.42x = 18,899.37 × 9,043.65
  4. Step 4: Simplify right side
    12,597.42x = 170,919,287.50
  5. Step 5: Solve for x
    x = 170,919,287.50/12,597.42
  6. Step 6: Final answer
    x = 13,567.80

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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.