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Finding the Fourth Proportional to 14,037.82, 21,040.53 and 5,267.14

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Solution

The fourth proportional to 14,037.82, 21,040.53 and 5,267.14 is: 7,894.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,037.82 : 21,040.53 = 5,267.14 : x
  2. Step 2: Convert to fraction form
    14,037.82/21,040.53 = 5,267.14/x
  3. Step 3: Cross multiply
    14,037.82x = 21,040.53 × 5,267.14
  4. Step 4: Simplify right side
    14,037.82x = 110,823,417.18
  5. Step 5: Solve for x
    x = 110,823,417.18/14,037.82
  6. Step 6: Final answer
    x = 7,894.63

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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.