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Finding the Fourth Proportional to 12,019.78, 16,581 and 7,535.08

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Solution

The fourth proportional to 12,019.78, 16,581 and 7,535.08 is: 10,394.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.78 : 16,581 = 7,535.08 : x
  2. Step 2: Convert to fraction form
    12,019.78/16,581 = 7,535.08/x
  3. Step 3: Cross multiply
    12,019.78x = 16,581 × 7,535.08
  4. Step 4: Simplify right side
    12,019.78x = 124,939,161.48
  5. Step 5: Solve for x
    x = 124,939,161.48/12,019.78
  6. Step 6: Final answer
    x = 10,394.46

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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.