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Finding the Fourth Proportional to 12,597.80, 17,384.29 and 7,561.01

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Solution

The fourth proportional to 12,597.80, 17,384.29 and 7,561.01 is: 10,433.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.80 : 17,384.29 = 7,561.01 : x
  2. Step 2: Convert to fraction form
    12,597.80/17,384.29 = 7,561.01/x
  3. Step 3: Cross multiply
    12,597.80x = 17,384.29 × 7,561.01
  4. Step 4: Simplify right side
    12,597.80x = 131,442,815.09
  5. Step 5: Solve for x
    x = 131,442,815.09/12,597.80
  6. Step 6: Final answer
    x = 10,433.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.