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Finding the Fourth Proportional to 12,805.95, 17,673.57 and 7,505.22

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Solution

The fourth proportional to 12,805.95, 17,673.57 and 7,505.22 is: 10,358.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.95 : 17,673.57 = 7,505.22 : x
  2. Step 2: Convert to fraction form
    12,805.95/17,673.57 = 7,505.22/x
  3. Step 3: Cross multiply
    12,805.95x = 17,673.57 × 7,505.22
  4. Step 4: Simplify right side
    12,805.95x = 132,644,031.04
  5. Step 5: Solve for x
    x = 132,644,031.04/12,805.95
  6. Step 6: Final answer
    x = 10,358.00

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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.