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Finding the Fourth Proportional to 24,809.82, 37,214.65 and 10,018.57

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Solution

The fourth proportional to 24,809.82, 37,214.65 and 10,018.57 is: 15,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,809.82 : 37,214.65 = 10,018.57 : x
  2. Step 2: Convert to fraction form
    24,809.82/37,214.65 = 10,018.57/x
  3. Step 3: Cross multiply
    24,809.82x = 37,214.65 × 10,018.57
  4. Step 4: Simplify right side
    24,809.82x = 372,837,389.98
  5. Step 5: Solve for x
    x = 372,837,389.98/24,809.82
  6. Step 6: Final answer
    x = 15,027.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.